No, they'll be fine. What I would suggest, go to Wal Mart, K Mart, Payless, see if they'll save you those little bags that come in the shoes, those, i can't remember what's in them, that keeps moisture out of the shoes, put a few in the boxes of pads. That way your pads won't get mold on them from the changing humidity. I'm in Az, I kept some in an outside storage room and never had any problems.
During our rainy season I used those bags to keep humidity (changes) from causing any mold to build in the pads, just in case.
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az guy aka: R & L Bowlers Pro
rlbowlerspro@cox.net