Depends on how you do Wish, and how you do magical talent. If magical talent is reasonably common and Wish is considered reasonably powerful, then yes, it can. Many campaigns basically say "well, it can do whatever any other spell can do, but no more", though, and so in that case the most it might be able to do is give you the ability to cast a small specific subset of spells, but not make you a full-fledged mage without some additional tricks.

If magical talent is very rare, no, you need the gods or something VERY powerful to give you that ability. I run "Wish" on a sliding scale from 1 through 20. A Wish 1 is the equivalent of an 18th level mage casting Wish; a Wish 20 is a direct pipeline to ask something of God Almighty (i.e., me, the GM). Wish 1 can duplicate the effects of lower level spells easily, other 9th level spells pretty reliably, and do combinations of several significantly lower level spells fairly reliably; so a Wish 1 could probably manage to create a weak-to-moderate power magical item, Teleport you anywhere, bring back a recently-dead comrade, or do significant damage to a castle that didn't have really powerful wards on it.

A Wish 20 could reshape galaxies, change the nature of the universe itself, make you Lord of the Cosmos, etc.