Why not? The maximum speed (in level flight) for the Cessna 152 is about 120 mph. Cruising speed is about 100 mph. Stall speed is about 60 mph.
I don't know what the stall speed for the F-22 is, but I'd bet big money that it's well above even the max speed of the Cessna. Potentially, the Raptor pilot might try some tricks like sitting on his tail while letting his aircraft stay aloft on mostly thrust, but the aircraft is not happy doing that for more than a very short time.
Could you by chance be thinking of the not yet operational F-35B? It is a VSTOL aircraft. It should be able to slow fly, but at the cost of enormous fuel usage.
What you refer to as tricks is what I had in mind.
They would just circle the slower plane. Hovering wouldn’t work as the time they can do that is very short, for example the harrier can only hover a few minutes before the engines overheat. Depending on conditions of course.
A helicopter would be a much better chase platform for a cessna. Of course a brisk walk might also work.