EDIT 2
After trying to run parallel, I am getting the following on the terminal when I run both parallel and by the source /homedtic/
You might consider using linuxbrew (http://linuxbrew.sh)
brew install parallel
The script http://git.savannah.gnu.org/cgit/parallel.git/tree/10seconds_install first tries an install requiring root; then a personal installation and if that fails too: a minimal installation.
It might just work for you out of the box, and if not, then it might serve as inspiration.
This did it for me, without root access:
(wget pi.dk/3 -qO - || curl pi.dk/3/) | bash
See this link.
./configure --prefix=<target>
This will make the installation in <target>/bin, <target>/lib etc.; just do the make install as usual.
Choose a <target> you have access to (something in ${HOME} if need be), and adjust your PATH to include <target>/bin (and, perhaps, MANPATH to include <target>/share/man so you get access to the man pages as well).
If you have conda, conda install parallel is also a one-line solution.