Nay, nay and thrice nay! Hacksaw teeth face away, so the cut is on the push stroke. not the pull stroke. I think the only saws that might cut on the pull stroke are some of those very expensive Japanese hand saws.
Alternatively, wander off to your workshop or garage, try cutting through a piece of ¼ MS bar with a blade put in to cut on the pull stroke - you might just be back in time for Christmas day.....
:-)