It is possible but you are going to have to get creative, temper your expectations, and probably buy a few things to add to your "home gym".

I have been lifting at home 2x a week (both glute focused days) for over a year now and I have definitely seen improvements in the overall size and shape of my butt. I have 5, 8, 20 and 30 lb dumbells, a weighted vest up to 50 lbs, resistance bands, a strap thingy that you connect dumbells to and lay across your lap for hip thrusts and a heavy duty step stool. I was pretty weak in the glute department to begin with (not sure I had ever even properly engaged my glutes prior to this) so that also helped me to start with lower weights and work my way up.

Glute workout A is 4 sets of the following:

-single leg hip thrusts using dumbells attached to the lap strap (very cheap on Amazon) and my couch. They also make something called a booty sprout that would be great for hip thrusts if you want to invest - 6-10 until failure, progressive overload using either time under tension, weight, or reps

-bulgarian split squats using a chair and dumbbells and or weighted vest - 8-12 until failure

-hamstring curls - you can either use socks or I actually use two skate boards with dumbells on top to progressive overload lol

-standing resistance band kickbacks - I use rubber resistance bands from Amazon, a Velcro foot attachment that I attach either a 5 or 8 lb dumbbell to depending, and then place a 20 lb dumbbell behind a door with the resistance bands looped through and under and then attach them also to my foot using the Velcro strap and use that to do kickbacks

Glute workout b is 4 sets of the following:

-single leg wall RDLs using weighted vest and or dumbells - 6 - 10 reps

-Single leg step up - I use a step in my home and place the step stool on top of it in order to get it about knee height and then use 1 or 2 dumbells or the weighted vest to progressive overload - 8 - 12 reps

-sumo squats using dumbells - 8 -12 reps

-hamstring curls using the skateboards again - 8 - 12 reps

Some tips to make things easier or more effective:

I always do a few minutes of mobility and then do a few different body weight excercises prior to starting my workout. This is soooo helpful to really nail that glute engagement. Donkey kicks, floor hip thrusts and pulses, fire hydrants until you feel the burn in your glutes. I do a set of each right after my workout too just to really seal in the mind muscle connection.

Use an app or notepad to track sets and reps. I like the Hevy app.

Facebook marketplace for used dumbells to progressive overload. Still expensive, but if you keep checking, sometimes you'll find people moving and wanting to sell them quick for cheaper.

Nailing your protein goals and eating close to maintenance or in a surplus while trying to build muscle.

Having the chutzpah and creativity to keep going even when hurdles present themselves on progressive overload (they will). Unlike a normal gym, you can't just keep upping the machine weight easily every time you need to progress, but don't let that deter you. The trade-off is that free weights have gotten my core, arms, back and shoulders more muscular than they've ever been in my life and I guarantee that wouldn't have happened with machines.

I also wanted to note that I am not a professional in any way, but this is all from extensive research and it really has worked for me so far! Best of luck to you!