Sure! Get a putter maker to send you a putter that is short but within their guidelines (e.g., 33 inches), and then simply grip a little lower than the handle suggests.
Putter handles are usually 10 inches long and the hands only need 4-5 of those inches for gripping the putter. This is the width of the palm of one hand. Even if you use a "baseball" style grip form that takes up 7-8 inches of the handle, you still have some grip material left over at the top or bottom, depending on where you center your grip. A typical "reverse overlap" grip has the palms and fingers in contact with only about 6-7 inches tops, so there is plenty of room to use a 33 inch putter as if it were a 31.5 inch putter.
Plus this positions the hands a little lower on the handle where the vibrational "node" of solid feel really is anyway. With a standard putter handle, the node is usually about 2 inches above the bottom edge of the handle material. So gripping a 33 inch putter a little low will likely give a more solid feel in putting.
The other idea of cutting a putter down, other than having the handle where your hands are hanging, is to make sure not too much of ther handle sticks above the tops of the hands at the wrist line. This MAY snag loose clothing or conflict with the body, but really is not the big issue people seem to make it. I use 35 inch putters all the time because they are available (and cheap in the Thrift Store bin) by hanging my arms in my normal setup and gripping wherever that results on the handle. It usually has me gripping pretty low near the bottom of the handle on the node, and the part of the handle that sticks up above my wrists doesn't bother me in the least. In fact, this part of the handle exaggerates any untoward waggling of the putter during my stroke that helps me know by feel and vision of the handle that my stroke tempo is too abrupt or raggedy. So that's a little bonus.
I wouldn't try to get the putter cut down too much anyway, for two reasons. First, if you later change your mind about it, the putter cannot be used as a longer putter. Cutting down is going down a one-way street, whereas using a taller putter with a short-putter setup is not one-way. Second, you may have measured based on a bend of the back and neck and head that is not the best for you, which results in a shorter measurement of putter length than you migth ought to have. The putter length presupposes a setup posture, and people often get that a little too bent over when measuring for a putter. If there is tension in your lower back or your neck and shoulders have tightness, then perhaps your bend is too low and the putter length too low as a result. Cutting down a putter based on too-low measurements is definitely a one-way street and also a dead-end street over the long haul.
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