There is another issue that you should be aware of. Almost all hamstick type antennas, allow the end of the whip to extend down inside the portion of the antenna where the coil is located. This makes tuning the antenna nearly impossible, especially if all you have is an SWR bridge.
Yes if you need to shorten it to point that whip is inside of this coil, you need to shorten/cut whip. It is easier to cut it with a grinder or cutoff wheel than a saw too.