I believe perl-build might be the right answer. It is already integrated in plenv and a plugin but only with plenv install.

I should have described my environment better. The web server is running in a different server and for security reasons home directories are not mounted. Whereas the web page directories are mounted to the system in which I use shell. Besides this, the web server is running a seriously limited OS and could be updated not in sync with the other system, including Perl versions. So I need to have everything the software needs in the disk with the web page.