Typically, you cannot make deposits to another bank's ATM. If you don't have an account at a given bank, you can often make withdrawals (for an extra fee), but you can't make deposits.
When you use an ATM that isn't operated by your own bank to make withdrawals, deposits or even simple balance inquiries, you can run into a bundle of extra fees. Sometimes these fees are charged by both your bank and by the company that operates the ATM you use.