Yes. In fact, Psychic Strike even has the exact ruling:
1/24/2013: You may target a spell that can’t be countered. When Psychic Strike resolves, the target spell will be unaffected, but its controller will still put the top two cards of his or her library into his or her graveyard.
Try again! Exiling a spell doesn't counter it. It just exiles it from the stack - it doesn't resolve, but it ain't countered.