The Linux CLSE supports flatpak for installing certain applications in your home directory. In order to use flatpaks, first set flathub as your remote repository for your user account using the --user option (Note that this will count against your home directory quota):
$ flatpak remote-add --if-not-exists flathub https://flathub.org/repo/flathub.flatpakrepo --user
Then you can verify using:
$ flatpak remotes
Name Options
flathub user
Finally, visit https://flathub.org, and look for the package you want (and the command line instructions). For example, to run Google Chrome:
$ flatpak install flathub com.google.ChromeDev --user
More information on using flatpak is available here: https://docs.flatpak.org/en/latest/using-flatpak.html