If you have any CCJ's in the last 6 six years the answer will be no. If you are talking, missed or late payments they will affect your application, but depends how recent they are, they may be prepared to discuss what the problems were.
Things are a lot tougher since I retired so even if they consider it you will probably be looking at a higher interest rate or bigger deposit.
Will you be able to supply up to 12 months statements with no unauthorised overdrafts or unapaid item charges.
Not sure if there is much flexibility in the system these days, but a Mortgage Broker may be the best place start for info and advice.