Is it possible to apply from the UK, where I'm currently taking a course?
I'm in the UK and taking online courses in the US and was able to apply from over here. The paperwork took a bit longer as the online forms don't always accomodate UK address details, but otherwise no problem.
You need to contact the Registry office (or the office that handles finance, grants, and loans for students) and see if they are able to taking US loan funds, not all universities here take FAFSA funds or are approved.
