Can you make a deposit in a different bank's ATM?

That is determined by both your bank and the other bank. Some banks don’t allow their customers to do this as it takes longer to detect fraud when a check is deposited into one of their accounts at a foreign ATM. (Foreign in this case meaning not your bank’s ATM.) For this same reason, some banks won’t accept deposits from non-accountholders at their ATM’s.

Not with Wells Fargo.

will chase allow you to make cash deposits at other atms than there own