I'm afraid, you can't run OpenVPN without admin rights.
if you are using the standard version of OpenVPN then you need to have admin rights to run the OpenVPN.
OpenVPN needs admin rights to add routes and configurations.
Although there are few other tactics to save you from this and run OpenVPN without admin rights.
You can use a beta version of OpenVPN-interactive service, which can run without admin rights and you would be able to run OpenVPN without admin rights.
If nothing works for you then you can use online proxy websites(follow this article
https://www.experthoot.com/proxy-sites/ ) to surf the internet without any restriction.
Thanks