Just about any CNC machine can do that. The limiting factor is the length of the posts. I suggest looking for someone with a CNC wood router. Many machine shops cutting metal won't let a wood chip get anywhere near their machines. Coolant, oil and wood chips are not a great combination, but zero problem for those who work wood all the time.
I don't know... cabinet makers? A guy in his garage with stronger and more agile elbows and a drill press? :-)