Yes overlocker can cut and sew at the same time. You should be sure of your seams as it's much harder to unpick overlocker seams, I usually sew on the sewing machine and overlock the final seam, though if you are sure of the fit you can just sew and finish at the same time with the overlocker.
Picture of Kate and William at farm shop
So many lovely Dorset and Somerset villages, but which one?
My wife, my abuser - now on channel 5