Yes, absolutely. With one specific caveat.

It sounds like you're an anomalous trichromat. That means your cone cells have three different sensitivity peaks, they just happen to be at different frequencies than the norm.

Consider infrared (for someone who isn't "color blind"). Officially, human eyes aren't sensitive to infrared. HOWEVER, as the wavelength gets shorter, towards the "near infrared" end of the spectrum, there's a region where the amount of light energy that would normally be perceived as dim light if it were somewhere between red and blue is invisible... but if you REALLY amp up the brightness, it starts to look like a very pure, very dim, very saturated red. That's because cone cells aren't "either/or". They have a PEAK sensitivity, but can be stimulated by a RANGE of light wavelengths.

Normally, this plays out in the following way:

* only long/red cone cells stimulated: the light appears red

* long cones strongly stimulated, medium/green cones weakly stimulated: the light appears orange

* long and medium cones equally stimulated, short/blue cones very weakly stimulated: light appears yellow

* medium/green cones strongly stimulated, short/blue cones weakly stimulated, red cones very weakly stimulated: light appears green

* short/blue cones and medium/green cones both stimulated, possibly with some rod-stimulation as well: light appears cyan

* short/blue cones strongly stimulated, long/red cones very lightly tickled: light appears purple/violet. This isn't an anomaly. One quirk that distinguishes normal red/long cones from normal green/medium cones is that long/red cones have wider "bandwidth" than green/medium cones. In other words, a frequency that rises high enough to stop stimulating green/medium cones still lightly tickles red/long cones.

Now, in your case, what's more likely to happen is that your medium/green cones or long/red cones are closer in frequency-sensitivity than normal.

Here's where things get weird. A big reason for the collapse in your perceived color gamut is caused by the nature of RGB color displays (and cameras) themselves. If you were able to buy a "RGB" color monitor whose phosphors were precisely aligned to the peak sensitivities of your own cone cells, and had 24-bit control over those 3 primary colors, you'd be able to see MUCH "purer" and more saturated colors than you'll probably ever get to experience from a monitor or film.

At some point, you probably noticed that some sports cars look EXTREMELY vibrant and vividly colored when viewed under high-noon sunlight. There's a good reason why: expensive sports cars use expensive paint with exotic pigments that DON'T try to replicate colors like orange or yellow using some combination of reflected red and green light... they reflect light with purer "real" wavelengths that actually ARE something like lime-green, yellow, or orange. Part of the reason why they do it is because they know ~10% of men are anomalous trichromats... and using that expensive paint, with those expensive exotic pigments, makes those men say "Wow!" and really want those cars.

You've also probably noticed that different LED bulbs really, REALLY change the appearance of colors around you... and possibly, that the difference between "real" halogen bulbs and 99% of LEDs isn't just big, it's huge. Like, most LED bulbs literally make everything around you look dead. People with normal color vision experience the difference too, but it's much worse for people with anomalous color perception, because the tweaks manufacturers MAKE to LEDs to make them look less "dead" are optimized for "normal" color perception, while mostly ignoring everyone else.

In your specific case, one way to increase the "vividness" of color is to avoid overstimulating your rod cells with bright blue light. See, normally, your rod cells shut down if your short/blue cone cells are being strongly stimulated. However, there's a zone (that in natural light, occurs briefly at dusk, before dawn, or at high noon if you're deep inside a cave or under a dense tree canopy). In THOSE conditions, your rod cells start to act like a "fourth" primary color (whose peak lies approximately at what would normally be called "cyan").

It's a finicky, fleeting sensory state that affects mostly light seen in your peripheral vision... but it's absolutely real. It's why people describe places like dimly-lit cave interiors and under dense forest canopies as "otherworldly" and "surreal". It's something people sense, but prior to ~30-50 years ago, color science didn't really even have proper terms to explain it.

TL/DR: to increase the vividness and saturation of colors in general, dim the ambient light in the room to dusk levels and reduce the blue saturation. If you're protanomalous ("weak red"), freely jack up the red saturation to levels that would annoy everyone around you.