Not sure what you mean by “merging”.
You could do that, everything regarding a specific Vault is in its folder, be it the notes or the settings. So as long as you have Obsidian installed you can move the Vault around like that and use it on different computers.
The most practical way however, would probably be to use cloud syncing like Google Drive or Dropbox and sync your Vault folder between your two PCs.
I hope this helps 