Yes it can be changed - you need a cartridge BB that has the same measurements. Based on your photo its a 68mm english threadded BB with square taper crank fitting.
The only thing I can't tell you is the overall length of the BB axle. You'll need to know this to get the same effective chainline when installing your right crank. Likely numbers are 103mm, 110mm, 113mm, 116, 118, 123.5, 124.5 or 127.5mm.
You need a 103mm one so the front chainring ends up the same distance out from the centerline of the bike. This is the chainline and getting it wrong means bad shifting, chain drops and chain suck.
Thing is, you say it creaks. Changing the BB might resolve that, or it might not. If the BB spins smoothly, without play or crunch, then its less likely to be the root cause of your creak.