Yes most cases of constipation do eventually resolve itself without any medical treatment.
If the constipation is not very severe then the constipation will usually go away within a few days to a week or two and if not then you might need to see a doctor about it.
If the constipation lasts longer than a few weeks then you might have an obstructed bowel and need medical treatment to treat the bowel blockage.
But if it's just normal constipation then taking an enema or eating some prunes or drinking prune juice etc can help relieve the constipation.
Staying hydrated with plenty of water or drinking the prune juice or even apple juice can help get your bowels moving as well.
Exercise is also another good thing that helps with constipation as well.