It won't, but it will raise the risk of moulds and fungus.
Best thing to do is get plenty of air circulation, maybe buying a couple of oscillating fans would be the best defense against any potential problems.
Cannabis is a tough and resilient plant that has survived for Millenia un-aided, it is not a dainty, weak or temperamental plant that will die or do strange things if everything is not perfect. Your plants will be fine in the high humidity, but mould could be your biggest enemy, especially in stagnant air.
Hope this helps, Organoman.