You can record anything you want in your 'studio' apartment! A prog-rock band? Go for it. An 11-piece funk band? Hell yeah!
Seriously, if you're interested in making music without getting yourself evicted, you WILL need to keep volumes at a minimum, and sometimes this is difficult.
What instruments do you anticipate recording? Harmonica is no problem, but rock drums may be troublesome.
I started out recording my extremely loud rock band at our rehearsal space. Eventually, when I developed a home studio of my own in my apartment, I was forced to keep volume levels down. My songwriting style had to adapt to this quieter environment I found myself in. I found myself directing my purchases towards gear that would lend themselves towards lower-volume situations. 100-watt Marshall stacks suddenly seemed less appealing or pragmatic.
Finding innovative and good-sounding direct injection methods suddenly became important. As a guitarist, I became more reliant on drum machines and synths. I feel this experience has enriched my musical palette and I'm a better engineer and songwriter because of it.
If you could supply more information about what instruments, musical styles, and equipment you intend on using, perhaps I or one of the other members can supply more specific advice.
Congratulations for advancing to a new apartment. Now do what you gotta do to make the best music you can given your volume restriction.