Hi - yes you can get Yasmin - I am on it myself, but you will need a prescription from a doctor. Once its been presribed though, you can set it up so that you get repeats from a pharmacy. Speak to your GP once you get here, and then the pharmacy where you pick the first one up from to arrange it.
I should also mention (in England at least - I can't speak for Scotland, though I believe all prescriptions are free there, and I am a little hazy on the Welsh rules) that contraceptive medicine - i.e. the pill, or implant etc are free of charge on the NHS.
Hope that helps!
(NB first post from a long time lurker - but thought I could help with this one!)