I am not sure - you can try to contact DBS or POSB bank - those are the big ones here and ask them how it works. I am not sure if it is possible but I am positive it is possible..

here are some useful links
seems that CITI bank would do it
https://www.ipb.citibank.com.sg/english/forms/english/open-an-IPB-account/open-an-ipb-account.htm

..your main problem will be in your own country.
you will be obliged to report to your bank or the tax authority that you have an overseas account.
If you will not do so and they will catch you -> they will probably give you problems