Can I take out a loan when I am under a chapter 13?
Not usually; I am also in a Chapter 13 and my attorney always tells me to pay cash for whatever I need. If the trustee gets wind of the loan (especially through a bank) they can say that you had the means to pay your debts. Be careful. Some people do cash advance loans like Amscot, but technically, they're supposed to be off limits as well, but not as bad to go against you. Note that some cash advance places will not loan to you if they see that you're in a bankruptcy situation. Hope it helps.
I'm sure you can if you find a lender that's flexible & willing to work with you, and you have a steady job, etc.