Unless the posting involves a suitability interview...In a word "No".
In a word "No".
Last time I was posted I was told by PSF that I could claim to hire a van to move my kit (up to a limit which I don't recall). I haven't seen anything in writing though so it's worth checking with your local shineys.
Failing that you can box up any excess kit and send it via your happy, friendly* stackers in R&D, although I'd make sure you have kit insurance if you do so.
*they may not be happy or friendly at all.