Where would the money come from, if you do not have an account with that bank? Are you trying to bring cash to a bank to turn in to a wire?
In any case, the answer is probably no. Banks are required to verify identity for international transfers as an anti-terrorism and anti-laundering practice. Nothing, as far as I know, stops you from opening an account in a bank, depositing the money, and sending a wire with it, provided you have suitable identification.
We might be of more help if we knew why you needed to do this, in case alternative methods of transfer are available. For small amounts, for example, you could use an International Postal Money Order.