Appearently it’s quite simple to install python on a windows machine, even if you don’t have admin rights.
Remember, this only works if you downloaded the MSI installer version.
Open a command line in the same folder where you downloaded the python installer (Click here for the Python download page)
Execute this command on the CLI:
msiexec /a python-2.7.16.amd64.msi /qb TARGETDIR=C:\python27
Replace the version with your downloaded version