I did this. I had being getting treatments all throughout my pg. At 38 weeks they started doing the labor induction points. However they assured me that it wouldn't make my body do anything it wasn't ready to do.
I went in twice a week and during each session I would feel mild contractions but nothing even sort of painful. I had a session on a Sunday and went into labor on Tuesday. I had a fast opening phase for a first time mom. I declined cervical checks but I had my first REAL contraction around 5:30 pm and was pushing by midnight.
I will say that my labor was super intense and the contraction were on top of each other from the get-go. I have heard this to be true of other "acupuncture-induced" labors, but only anecdotal.
We have a community acupuncture place that works on a sliding scale, if you want to find out if you have one in your town their website has links
http://www.workingclassacupuncture.org/
Otherwise just find a place that is close to you and call and ask how familiar they are with this.