It depends on what the ink is.
Gel ink will NOT come out. Period. My husband dropped a gel ink pen on an expensive suit shirt and it wicked a stain the size of a quarter. I took the pen and some scraps, made some test stains, tried every single stain remover on the market and every single remedy I could find on the internet. Nothing worked. Finally stumbled across a law enforcement website that recommended using gel ink pens to write checks, because bad guys can't bleach the ink out.
You can always applique something over the stains.