Stop before you start!
No! Of course you cannot! You can overprint the shirts with anything you want as long as you o print in very small quantities and give them away to friends and family. But the second money changes hand for purchase of a shirt, you become liable to Hanes for copy right infringement. If the sales are done on a small scale, you will probably get a Stop-it-or-else letter.
The alternative scenario would be that you chug along with your business venture without being found out for two or three years and then Hanes gets wind of it, a lawsuit will result and not only you will have to wind down operations, you will also be cutting checks for their share of the profit.
Wait till they get their Hanes on you!
fredriklaw