Yes,two were shipped in July 1945. They were the Do335A-0 (W.Nr240102) which your model represents and a Do335A-1 (W.Nr.240165). They were shipped with 14 other captured enemy aircraft aboard HMS Reaper. 240165 was flown at least once at Newark. The original plan was to fly it to Freeman Field for assessment but problems on a test flight at Newark meant that it was ferried by road. It is doubtful that it ever flew again.
240102 was assigned to the US Navy but they never flew it. It was donated to the Smithsonian institute in 1961. It was placed at the organisations Siver Hill facility. It was joined there by the wings of the USAAF's example (240165).
In May 1974 the Deutches Museum in Munich asked to borrow a German wartime aircraft and the NASM decided to send their Do335. This was by then,and still is,a composite aircraft.
The fuselage is from 240102 the A-0 originally shipped to the US.
The wings are from 240165 the A-1 originally shipped.
The horizontal and dorsal tail surfaces are from 103,the ventral fin from 105 and the starboard flap from the wreckage of 101.
This aircraft was returned to the US in 1986 (I think) and after further restoration went on display at the Steven F. Udvar-Hazy centre,part of the Smithsonian Institute located near Washington's Dulles International Airport,in 2005.
Cheers
Steve