Why not? Isn’t this the whole concept of Bash Script, Ansible, Terraform, etc… I mean it can be as simple as a git repo that pulls down an install script then syncs your dot files. What am I missing? If you’re referencing Nix, you can also have that on Mint.
Ah alright. My point is OP is asking what can be done in other distros that can’t be done in Mint and your answer was have the entire configuration be in plain text. I completely agree that if you want that kind of reproducibility NixOS is the most refined, well established, and best way to handle this. However to answer OP I would say this is possible in Mint but just much more painful.