An official Software Requirements document for Plesk in Windows, tells that "We strongly recommend that you install Plesk for Microsoft Windows on a clean server".

It has a valid reason, because when you install a Plesk panel, the components required to build the Windows Hosting environment is installed by Plesk itself. It's installation wizard provides you with the component/roles/software/server selection to install your choice of software in Windows system.
That means, it won't recognize none of your pre-installed components, and you won't be able to manage them from Plesk. Hence, it's not recommended to install Plesk in a production VPS as it may also corrupt the functionality of existing environment.
If control panel is your only concern, I would recommend you SolidCP. It's a free control panel built for Windows VPS. The best thing is, you can install it on your production setup without interrupting its functionality. It'll easily recognize the installed components/roles/servers allowing you to integrate them with SolidCP.
Installation part is straightforward - once installed you just have to integrate the existing server components in SolidCP and then you could easily manage them from SolidCP. It also allows you to import your existing databases, websites, domains, etc. from SolidCP to manage them.