Yes, it is possible to run PowerShell through the run window. However, it would be burdensome and you will need to enter in the password for computer. This is similar to how you will need to set up when you run cmd:
runas /user:(ComputerName)\(local admin) powershell.exe
So a basic example would be:
runas /user:MyLaptop\[email protected] powershell.exe
You can find more information on this subject in Runas.
However, you could also do one more thing :
then your system will execute the elevated powershell.