To the first question, yes, it should not require bios changes to boot from an external device if you’ve already successfully done that before.

To the second question, I think that will depend a great deal on distro you install. Most I would expect are not going to play well with being booted into a different machine, because during installation and updates etc., it will install the appropriate drivers for that specific machine.

Contrast this with live bootable distros, which are designed to be used on a variety of hardware at boot time.