for sure, you can use a slingbox in the UK and view it in singapore. slingbox is the best thing since slice bread

for about £90, it is well worth it.
you can either access freeview or sky digital. the slingbox classic has a built-in DVB-T so all you need is to connect up the slingbox in the UK to a tv aerial and to your broadband router. for sky digital, you will need a sky digibox in the UK. and in singapore, just install the slingbox client on a PC and point it to the UK slingbox.
if your ISP upload speed is higher, then the better the quality. most ISP upload speed is about 256kbit. my ISP in UK is be (
www.bethere.co.uk) and their ADSL2/2+ upload speed is about 1.3mbit and my ISP in singapore is starhub cable.
if you need more info, let me know as the possibility is endless!