It would be like Canada trying to get into a bank in Mexico. You can do it but my guess is the costs will be prohibitive.
Yes, but according to a previous mt.gox press release their HK bank doesn't charge fees for either receiving or sending funds - maybe the Singapore bank would charge something. It's usually just the sending bank that demands a fee (at least that's my experience moving funds from the UK to China).
edit: I found the quote
"We'll have a new bank account in Hong Kong (we already do, in fact, We're just waiting for the online access token which should be delivered soon) which will allow us to waive all fees on incoming international wires. We'll also be able to make free outgoing International wires."
https://mtgox.zendesk.com/entries/20344112-euro-banking-update#overview