Unless the new RPi is a model 4 or newer it should work. You will not hurt anything trying it anyway even if it wouldn’t work. If the new RPi is one of the newer ones then for most setups all you need is the userdata folder (/home/osmc/.kodi) which if your using profiles the backup add-ons might not grab in their entirety. I normally just install smb server, copy (in Windows) the .kodi folder using Explorer to my PC and then on the new machine SSH in and shutdown Kodi with
systemctl stop mediacenter and then using Explorer connected to the new machine delete its .kodi folder and then copy over the one from the new machine. after the copy finishes you restart Kodi using SSH with
systemctl start mediacenter.
If you copy between platforms (RPi, Vero, Windows, etc.) and you get a sadface loop you may need to delete
.kodi/userdata/guisettings.xml to get past this. Kodi must not be running while you do this for it to work. This will replace most of Kodi’s settings with defaults but it will retain profiles, libraries, CEC settings, plugins, and most of the work involved in a fresh install.