Assuming you qualify, then yes. I believe their qualification process is pretty lenient. The loan does not show up on your credit report, just the simple credit inquiry they do during the application process.
Also, for most folks the loan interest is tax deductible as mortgage interest (like on a 2nd home), but you would need to discuss it with your tax advisor to be sure.
They require a 10% down payment, but current incentives may lower this through promotional credits. The "preferred" interest rate is 10.75% on a 10 year term. Add-ons don't have closing costs. I believe the minimum add-on to receive Disney financing is 50 pts. To receive any current incentives you have to add-on at least 100 pts.
Since you are from the UK I'm not sure if there are different rules for non-US Citizens