Yes, all you need is an account number and routing number. I have done this at BoA, Chase, Marcus, Ally, TD Bank, CIT Bank, Key Bank, Wells Fargo, Citibank, Capital One, Schwab, etc.
Oh yes, I guess I misremembered. Well I guess there’s a reason I stopped using them. Anyway, lots of banks do, and I would switch to one that does let you do it.