Indeed.
CAA form
SRG1160: UK Licence Verification Authorisation for Licence Validation | Publications | CAA
FAA Page
Airmen Certification: Verify the Authenticity of a Foreign License, Rating, or Medical Certification
So you send the CAA page to the CAA with the relevant fee, currently at forty of Her Majesty's Stirling Pounds.
Fax or mail the FAA form to the FAA office in Oklahoma , along with copies of your licences and medicals including the address of the FSDO you intend to have your licence verified at. A local DPE (Designated Pilot Examiner) can verify foreign licences if authorised.
Note the paper-work can take as long as 6 weeks to go through and normally takes a minimum of two, so start the process before you leave for the states.
Fill in an 8710 with the help of an instructor (or member of FSDO staff), have a temporary airmen certificate issued. The real card will be sent to your permament address or you can specify a delivery address.
Complete a bi-annual flight review with an authorised FAA instructor and then your good to go!
Safe skies.