In a word - No.
You must have a current UK or JAR issued ATPL or frozen ATPL with current medical (and also current MEIR) to even apply to flybe. They are an airline not an FTO and what you are suggesting is a flight training issue.
A simple look at their website gives their requirements:
in addition to holding a valid UK CAA or JAR licence and medical on application First Officer candidates should also have completed a Multi Crew Co-operation course. All applicants must speak fluent English and where relevant have the right to live and work in the UK. Applicants for the Channel Islands ie Jersey and Guernsey must have the relevant residential qualifications.