Well I've already failed that.
Its possible but there's a chance you'll get screwed out of that in the very early game after the lengthy series of intro cutscenes.
It'll be a very short playthrough and bad ending.
Baby(Level 1-3): Even as a baby, you touch everything and anything. To avoid this, make sure you have plenty of toys. Kid (Level 4-12): As a kid, you also touch everything. However, most kids have a book or video game or toy, so bring that a long every playthrough and you should be fine.
Teen(Level 13-17) Now that you are finally a teen, your parents will usually force you to get a job. Put some gloves on using the in game cheat menu and go get a job. Adult (Level 18-59) Now you have to wear gloves for the rest of your life. Since you now know every cheat and hint on how not to touch money at all during one of the longest stretches of the game, you should be fine.
Retired(Level 60-99): Heres the dangourus part of the game. You're now vulnerable to every attack and should have armor on every day. Try not to do anything stupid at this age because being disabilitated can end your life due to your low health regen. Good luck! Dead(level 100) COngrats, you finished the challenge without touching any money!
Adult(LEvel 18-59): Also at this stage of the game, you can achieve the secret ending. First, you must find a woman you really like. Next, you try to propose your liking to her. If all goes well, you are now best friends. Now, after some dates and flirting with her, you are now boyfriend and girlfriend.
(Con.t) Finally, be together for at least 5 years and propose for marrage. Then, when ready to continue normally, have kids. This will allow you to have new game +.
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