AFAIK, it doesn't matter whether you have a degree or not - they just change the name of the loan from a 'Graduate Studies Loan' to a 'Professional Studies Loan' - however it is on similar terms.
The HSBC lent me £20,000 towards the modular course two years ago, without an face-to-face meeting or any real hassle - however I was on
very good terms with them having banked with them for 12 years, mortgage with them so house available as security, etc. etc. The interest rate at 2% over the BoE base rate is virtually impossible to get elsewhere unless you are remortgaging property, and they are completely flexible with repayments.