Yes you can move the Catalog using File Explorer (and Lr shut-down), but you must move the Preview folders (and Smart Previews folder) along with it. You are not moving any photo files.
I suggest you create a 'Parent' folder in C:\Pictures for the Catalog and previews. (call it My Catalog or similar)
After moving with the OS, simply double-click the .LRCAT file and Lr will open the catalog and find your photos where they remain.
*Note: Do not be confused by Windows use of "Library" links. You might see a Library (faux folder) called "Pictures" under "This PC" but this is only a 'shortcut' link. All your photos are stored in the 'real' folder C:\Users\your name\Pictures. Unless you have specifically created your own "Pictures" folder in the C: Drive. (ie C:\Pictures)
How to Move Your Lightroom Catalog | Laura Shoe's Lightroom Training Tutorials and Tips