Rotary silkscreen on a bottle press would be the only way to really do it in one print, and yes flashing prior to oven would be needed. You'd also need a few sized mandrels and screens to account for different sized shirts and the sleeve diameters that change with them.
I've done all-around the collar prints in one pass, on a toilet seat shaped platen before, that works well, but loading/unloading is 5-10 times longer than a normal print.
Sleeve stripes would need to be cut and sew for any efficiency at all.