Can you get oil based paint out of fabric?

Sometimes, depending upon the fabric, how long the paint has been there and what kind of oil-based paint you were working with.

You may be able to use a lipid solvent, such as nail polish remover, rubbing alcohol or even paint thinner, if the paint is still wet. Please be aware that any of these materials may permanently stain, discolor or damage your clothing.

For paint that has dried, I think you are pretty much out of luck.