No - bugs (lots of them) survive quite well away from 37deg, they don't grow and thrive as well, but are very much alive and ready to go once they find a moist warm area to infect.... Flu bugs etc survive very nicely on the lips of coffee cups etc, wart viruses on towels... the list goes on and on.....
I don't think its cause for alarm - but if you have itchy, gritty or scratchy sore eyes - keep them to your own eyepieces until you are better....