https://knowledge.broadcom.com/external/article?legacyId=57122
It is possible with VMware Remote Console, I don't think it's possible with the basic webconsole.
This opens some security risk to your environment as well so you would want to revert as soon as the end user is finished.
There is a tool called ClickPaste available on GitHub that will paste as keystrokes. I have not used it so can't speak to it's effectiveness. And it requires Windows.
https://github.com/Collective-Software/ClickPaste
What I do for running scripts post deploy is setup a read only network share on some server for one folder with a local user that has no other permissions, it can't even login to Windows, so I can just map it through the customization run once and I don't care if the password is in plain text.
Good luck.