Sure: but know that if a deodorant does also contain aluminum (which 99% of those marketed to women in regular stores do), it can't actually be washed off: it is an OTC medication, which works cumulatively over time & is actually absorbed.
I don't have an issue with deodorant only @ any age, but I find that most everyone aside from dedicated hippie warriors is actually using antiperspirant. They even have 'clinical strength' now which actually just means 'extra aluminum'.
Yikes! I really like Voondrop's idea about the cider vinegar. I hope I can turn dd1 onto that!