Is it possible for my period to give me shortness of breath and after turning over in sleep 5 days my right lower side is still sore.? use ibuprofen.

No: Your menstrual period should not be giving you shortness of breath unless you have been bleeding so heavily that you have become anemic. You should be seen by a doctor asap and be fully evaluated. Do not delay. Hope you get better soon.

Probably just : Coincidental. Get checked for airway obstruction(asthma ?) , ovarian / intestinal problems etc. Hope u feel better !