You may have to put up an additional deposit but if you're just talking student loan issues and not evictions you should be okay.
Make sure you investigate the owner to be sure it is the actual owner before handing over any money. Also do some homework to verify the owner is NOT in default or you may not be able to renew your lease and if the A/C breaks the owner may not have any money to repair or replace it.
Best to rent in a complex until you're ready to buy.
Also if you can qualify to get an FHA or Conventional Mortgage, you may be able to get up to $10k from the State of Florida Bond program to buy. You can't earn over about $68k for a single person to get this money.
All the best,
Sold On Tampa Team