Upvote:1
Very unlikely.
Weight of your baggage is between you and the airline. Customs has no way of knowing what the weight of your luggage is so they can't use weight as an indicator for extra scrutiny.
Sometimes the airlines will put a sticker stating "Heavy" or similar on your bag so that the baggage handler can follow proper protocol for overweight luggage. If you are worried about that, you can simply remove any stickers after you have collected your bags from the belt and before you take them through customs