If it is a Linux/Unix based machine (i.e. not Windows) then which chromedriver would tell you where it is. If it is windows machine the executable would need to be on the path so using echo %PATH% at either a command line or by adding that into the Jenkins steps would hopefully highlight it for you. (Sometimes people put the executable into another folder that is already in the path as compared to what I do and recommend which is to put it into a well name path/folder like “/development/selenium”)
That you don’t have admin access, part of the solution I would think would be to work with them to properly configuring the system. They might have some understanding as well.