If your parent was a craftsman or an artist in ancient Egypt, it was assumed you would be too. But some children did not inherit their parent's ability. There was no shame in that. If that was the case, you probably would become a merchant, selling the goods that others made.
But no matter what your father did, if you had artistic talent, you could become a craftsman or an artist. Someone would be glad to take you into their shop.
Artists in ancient Egypt did not sign their work. No one was supposed to know who created a work of art. However, everyone knew what shop it came from. So shops were always on the lookout for talented craftsmen and artists. It was simply good business.