Even if it is possible, don't assume it is an easy process.
I wanted to import a Jabiru J400 from France and it became apparent very quickly that this was going to be a real pain.
First of all, the LAA were very apprehensive because it had 4 seats (they would have considered a 2 seater). Then because it was composite and France has different build standards to the UK LAA, it would have been the case that the aircraft would have had to be almost be stripped back to kit form for inspection.
Cost and hassle made it a no goer. It would have been cheaper to pay the extra and either built one or bought one from the UK.
No dealings with the UK LAA (other than permit renewal) are ever easy, straight forward or quick.