Nope. Absolutely not.
Make sure to keep the exact drive letters of your media drives. I assume you know how to change these.
I recommend you to move the Plex data folder in advance to a separate drive. It must be locally attached (preferably internal and SSD).
It must be formatted with the NTFS file system.
This should make it even faster to get up and running on the new system, since you only need to install Plex server, then test it with a mini-library and then simply edit the ‘The path where local application data is stored’ to point to the drive with the old plex data folder and restart.
Here is a guide to do that: Moving Metadata on Windows - #3 by OttoKerner