Is it possible for me to move out ?

I know the current housing market is a total shit show but I’m currently working in my first full-time job and would like to finally move out of my parents house within the next 2 months. I get paid by the hour and currently take home just over $1K in a regular 40-hour work week. I can also do OT at time and a half pretty much whenever I want so I can easily pad that. Do you guys think it would be possible to find a 1bd/1ba in an area that doesn’t suck ? My credit score isn’t great right now but I’ve paid off a bunch of debt in the last month too and it should start to reflect that soon, hopefully by the end of this month.

Edit: $1K a week AFTER taxes