Is it possible to install Virtual Box or other free virtual machines on a cluster?

We have a CentOS HPC cluster and despite asking, the admins do not like to give us root access. I have more experience with finding the packages I need in Ubuntu's apt and conda-forge etc. I am wondering if it is possible to ask them to install a virtual machine for us and not be worried about us breaking down the OS. Does anyone know if that is possible, and if so, can multiple clusters be utilized within an Ubuntu virtual machine installed on a CentOS? I assume it is reasonable to expect loss of performance for parallel simulations, but even at a moderate loss I can live with it.