I am 37 +1 wks & have been in prodromal labor since 33 weeks. Also been sitting at 3cm and 60% since then. Would a sweep bring on active labor?

Possible. Sweeping the membranes at term is appropriate and can sometimes help to start labor, but generally this is not recommended until 39 weeks since the baby can still benefit from brain maturation within the womb for another two weeks! Be patient and labor will come.