No, Minnesota is rock-solid Democratic state. Even if Hillary Clinton is caught eating babies on camera and Republicans win massive landslides in the other 49 states, MN will still vote Democratic. Because history.
Real answer: of course he has a "chance", and it's not negligible. MN is only D+2. (The supposed Republican "ceiling" is, I expect, mostly just an artifact of countervailing swings and not indicative of anything real, much like numerous other
electoral precedents before).
Is it likely to be the the tipping point state? No. But a strong Republican nationwide victory is not implausible, and in the event of such a victory, any Republican would have a good chance of winning MN.