Might, might not. Your plants will likely be in shock due to the move, so they probably won't be doing much right now. But in theory the little sticky bits will bend in and push the spider up against the leaf where it can be eaten. :)

only a couple of the leaves have mildly looking sticky parts, so i'm thinking the spider is just gonna sit there... :)

a couple of my pitchers on the pitcher plant are starting to brown so i'm hoping they were just already fully mature and have had their time and would be turning brown regardless of the move.

It is likely shock, most plants do suffer a bit from moves but then recover. :)