No, of course not. He expresses his surprise every time he sees Phil Connors, hence he wasn't expecting to see him every day, so he wasn't having a Groundhog Day of his own.
Speaking of which, I issued a time slip when I was a teenager with a mate of mine. No popcorning, completely legit.
We were walking down the road (Simonswood Lane actually) and we suddenly moved 20 yards back down the road. Like we were mid-stride and we just shifted back. We both froze, looked at eachother and at the same time said "Did we just...?"
Mentally we couldn't comprehend it. If it was just me I'd assume I'd just had a stupid moment and daydreamed or something, but it was both of us. Still sh*ts me up to this day.
So as absurd as the notion of time travel is, or time disturbances anyway, I believe in it as it's happened to me! You'll all think "oh look, another internet nutcase", but I'm not making it up and I'm not even arsed. ^^