Nope. That's the real benefit of Boveda or HF beads. They will keep you from going too high.
The rest basically just slowly release RH into the air (Foam, gels, etc) so that they are restoring what is lost when you open/absorbed by wood/absorbed by cigars, etc. They have no way of knowing if they go above a specific RH, so they will just continually add until they are dry. Boveda & HF beads are set to a specific RH, so they will literally absorb excess RH in the air to bring it down if it goes above their specified RH (which is why you should only wet 70% of them, so they have room to absorb more)