I am wondering if I can shoot 27" arrows through a general with 29" draw 70lbs and a ripcord rest?

You probably can but that seems to be cutting it kind of close. Why a 27" arrow?

Yes, but why? I would suggest 27.5" as a minimum just for clearence peace of mind from your rest. I have the same set-up and shoot 28" for the extra weight. Don't be fooled by speed...it's the Kinetic Energy that you'll need and want for hunting.

It depends on how far back the rest sits. I shoot a QAD with 27" arrows and I too have a 29" draw. It' leaves me about 3/4" clearance and works for me.