"Hope" usually implies something that might happen. "I hope we win the game." "I hope I get the job."
Wish usually implies something that you don't expect to happen. "I wish I had a million dollars." "I wish I could fly." "I wish I could play guitar."
Note that you might expect to learn to play guitar, but you know that you can't play it RIGHT NOW.
ALSO: See how the tense changes between hope and wish. "I hope that I CAN see you tonight." vs. "I wish that I COULD see you tonight."