Depends on where the hole is and how large. If the hole is on the sidewall, forget about it. If it is on the tread area and not closer than 1/2 inch from the sidewall, then yes, it can be fixed if the hole is just from a nail or small screw. What I would do is use a plug-patch. There are exactly that, a combination of the two and look a little like a mushroom. Besides buying a new tire, that is the best way to go IMO.
good luck