Fumigation using a tent is necessary for dry-wood termites, which are primarily a problem in warmer climates. I believe most pest control companies have stopped using methyl bromide, and are now using sulfuryl fluoride. The methyl bromide (or bromomethane) could cause deterioration of certain types of rubber.
If your pest control company uses sulfuryl fluoride, you should be OK.
If your pest control company uses sulfuryl fluoride, you should be OK.