Yes, with my first. First at 41w3d. Did cervidil overnight at the hospital and was sent home the next morning. Went from 0 to 2-3cm. But that did not start labor. Back to the hospital at 41w6d. Induction which became an unnecessary cesarean for failure to progress.
I would wait as long as possible before starting any interventions if you really want to birth at the birth center. Once you start they can become a slippery slope.