It is possible, but difficult if you use an agency which credit checks --- most use private landlords, who do not tend to run formal credit checks, or private house shares, for the same reason. Otherwise, some agencies can be persuaded with a guarantor, higher deposit or rent up front.
My opinions are merely that .. opinions based on experience. Always seek professional advice.
IVA Completed 23rd July 2013 .... C.C. 10th January 2014 http://foggy.blogs.iva.co.uk