Not while in training. You will become isolated from the rest of your mates while they bond together. They will not be happy as you trot off back to you mums as they then start to get their rooms ready for inspection etc. Also mutual support is vital in training, you get each other through it.
Once through training and in post it is possible to commute daily to a local residence but this will depend on your rank, time served, where it is and above all your chain of command (make sure it isnt your mums your going back to!).