Can customers abroad pay me by international wire transfer?

Yes. Bank Transfer has a field for international details. In Settings → Store Settings → Payment Gateway, click Configure on Bank Transfer and fill in SWIFT / BIC along with your other bank details. IFSC / Routing takes your local bank code. Click Save Changes.

The SWIFT / BIC code then shows on the order confirmation page with the rest of your account details. Use Instructions to tell overseas buyers anything else, for example who pays the bank charges.