Unfortunately no, as each console encrypts the HDD with it's own, unique-per-console key.
The only thing you may do is copy all the HDD contents to your PC, and then transfer it to another PS3, but bear in mind that licenses and activation files won't work "as is".
It's easier to just reinstall everything from scratch on each console, by using some USB drive with your PKGs, or by using PKG Linker.