Mod Note: this particular method isn't recommended. Blocking the door was not intended as a way for Bakery Story to be played, and could lead to problems in the game.
Your progress is saved on Bakery Story's servers, so stepping away from your game for a month would not cause you to have to start over. Your level, experience amount, and amount of coins/gems would all be preserved in the time that you spent away from your game
Wishing you a healthy recovery!