Essentially, yes, but I'm sure there's more to the topic than I know. Here's a quick breakdown of the main specs and the variants:
From: British Piston Aero-engines and their Aircraft, Alec Lumsden.
Edit: I understand that Calum Douglas wrote a pretty good book about, amongst others, the development of the Merlin, but I have not read it myself. See here:
https://amzn.to/3VJ2Kpd