For the shove/fold tools, no I can’t imagine many, if any, venues would be letting you use them in live in-person tournaments while you are live in a hand (i.e. you have cards). Now between hands or after you fold there is generally nothing preventing you from calling something up on your phone (or even looking at paper copies) to decide the range of hands you are going to shove with given your stack and position (e.g., “I am in the cutoff and have 11BBs remaining, if everyone folds to me I am shoving with this range of hands.”) Or with the APT tool putting in your stack size, what the pot is if everyone folds to you, how much the opponent would have to call, and what range of hands you might get called by from a single opponent. That gives you an idea of how often you’ll get a fold and if called what your equity is against that range if called.

Another use of shove/fold, of course, is to assess hands after a tournament to see what you should have done in certain circumstances to better prepare yourself in the future.

For the ICM, again you likely won’t be allowed to be inputting info while you are in a hand, but when you are not live you certainly could put in the estimates of chip stacks and put in payout amounts to figure out what an ICM chop would be if you are proposing ending the tournament with a chop. Or you could use the ICM to try to predict how to behave in certain scenarios, although that is challenging on the fly in a tournament.