Does hernia groin pain come and go?

See below: It can, unless it is incarcerated (stuck), in which case it is usually severe and constant. You should consult with a general surgeon.

It often does: There is a hole in the muscle layers of the abdominal wall and a sac is coming through it. When you cough, lift or strain, the sac is 'puffed up' by the abdominal pressure, and it puts pressure on the muscles. The muscles can pull apart more from this pressure and give symptoms similar to a muscle strain. The severity will come and go. Best to see a surgeon before more trouble can occur.