High street banks do lend, but, as Luluj suggests, a broker would be a safer option as all the lenders have differing criteria regarding old IVA's and, if you approach the wrong ones first, the searches on the credit files will raise red flags to other lenders you approach.
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