Hello David - welcome to the Forum.
If the netbook is 32-bit and the new PC is 64-bit then: possibly. BUT...
1. Mint 14 is probably not supported now (new one is Mint 20) so security updates might be lacking, which is not a good idea unless you intend never to use the internet.
2. You can download 64-bit Mint 20 or any other Linux version for free - or, indeed buy a "live disc or USB" of your chosen operating system.
You can download Mint 20 (with a choice of desktops) here:
https://linuxmint.com/download.php.
Or Ubuntu 20 here:
https://ubuntu.com/download/desktop.
Or for more choices and descriptions have a read of
https://www.techzac.com/best-linux-operating-system/Probably too much choice! But other Members can offer advice on particular versions - just ask.
Keith