No, I wouldn't.
I had a pitocin induced birth with DD with midwives in a hospital (had planned for a birth center, was "risked" out after water broke with no onset of labor). Anyway, my birth was great with DS. We had a homebirth. I actually was like (during labor), "Wow, I can really see why people go unassisted, it would be great to just not call the midwife." Right around then was when DP knew to call the midwife, lol.
Anyway, my water broke and I had agreed the midwife apprentice could deliver. I was immediately pushing and then it became clear there was a "problem." It ended up that DS had passed meconium and had the cord wrapped around his chest, then around his chest and shoulders and then also around his neck! He ended up getting stuck with just a bit of his head out. The midwife took over, was able to get him out--- he was blue and limp. She was soooooo calm. He was pinked up and breathing by the 3 minute apgar and everything was wonderful. I was so glad to not be in the hospital but I was also soooo thankful for the midwife. We would have not know how to handle it and wouldn't have even known there was a problem (DD took hours to push out, so I wouldn't have known there was an issue that quickly).
I understand there are tragedies that happen. I just feel *for me* that they would increase without a professional.