Possible Delivery @ 37 wks for FTM?

I had a preterm labor scare at 33+3. Had contractions 5-7 minutes apart. These were due to diarrhea and stomach flu that caused the labor. Went into the ER and was given medication to stop the labor. I wasn't dilated or dilating when having contractions. Cervix was closed the whole time (spent the whole weekend at Hospital).

My question is, I'm now 35+3 and is it possible I may give birth before my due date say when I'm full term at 37wks? I've been having lots of BH and contractions since then. Nothing extremely painful and very inconsistent. This is my first pregnancy and baby is a boy. Has this happened to anyone with their first baby?