My 2005 Jeep Grand Cherokee 5.7L stalls while driving. This has happened so far only at low speeds; excelerating after stopping. I put it into park and turn the key and it starts back up just fine. It doesn't seem to be running badly either. Could this be a fuel pump problem or something else. The check engine light is not/ does not come on.

Crank or cam sensors will do this. Also make sure your power feet on those sensors is correct voltage and clean power.
This also could be the fuel pump.
Use only Bosch Delphi or VDO pumps.
Carquest and Chinese pumps are junk and will cause trouble.
https://www.youtube.com/watch?v=9gmRG5ECodo

The problem I believe is the crank shaft position sensor.Check the wiring and make sure the connections are good.It is located at the right rear side of the engine block.Hope this helps.Good luck.