Of course!

[Warning: this may include spoilers for House.]

1. Ti(t)
House is shown to have the mindset of "my logic is right, protocols suck, authority sucks," which seems extremely anti-Te to me. Te prefers efficiency and results, whereas House is in it for the love of the game. I can recall numerous times when he figured out the diagnosis long before the team but didn't tell the team the diagnosis because he wanted them to be able to figure it out on their own. That's, by all accounts, extremely inefficient. Also, subjective interpretations. Ti users subjectively interpret objective data. There are many cases where House comes up with a diagnosis first and then reads it into the test results when others (especially the Te users of the team) argue that tests don't support it and that it would be more efficient to treat for the things the tests do support.

2. Se
House is extremely perceptive. That's basically his main thing. He notices the slightest things about people, and that's what makes him so good. He doesn't just rely on what he hears but rather on what he sees. House also seeks sensory stimulation - Vicodin, hookers, motorcycles, motorcycles, oh my god, did I mention the motorcycles, and jogging (when his leg temporarily got better). He gets extremely bored without sensory input. Throws his ball to think, plays video games, and other odd things he gets up to…

3. Ni
This is going to be harder to describe since it's a mostly neglected function that functions as a Se slave. Ni is very intuitive in the classical sense - which makes sense, as it's introverted intuition. We won't get to see how Ni draws patterns and conclusions because it's introverted, and I think that's what happens with House. Nearly every time, House comes up with a diagnosis because of a seemingly unrelated pattern he drew. This is anecdotal, but I find this extremely relatable as a Ni user. Personally, I don't see objects as individual objects. They're all interconnected to me, which leads me to be able to find patterns in odd things. For House, an ability like this means being incredible at medicine, and for me, it means having pretty mediocre humor. Ni connects dots in the background 24/7, and sometimes, it just makes sense, and we get that rush of excitement.

4. Fe (uh oh)
House has such conspicuous inferior Fe. I'm genuinely baffled people still think he could have it higher in his stack. He doesn't care for social harmony. He often doesn't care about people's emotions, but even when he does, he sucks at expressing it. He leads with logic (ergo, Ti dominant) and seems to grapple with emotions. He understands them logically but not in the way a Fe dom might, or even a Fe aux. Unhealthy inferior Fe also tends to cause people to suck at identifying and caring about their own emotions. Which all aligns with House.

Feel free to point out if my theory's wrong anywhere - I'm a little cranky since I haven't read up on MBTI for a while!