Hi strength-address,
The Pyro simulation in Cinema 4D builds up over time; I'm unaware that anything could be set to a later starting point (precalculated frames - not shown) and placed that one to frame zero.
However, if you cache the simulation and open it in RS Volume, you can offset this Freely. The single (per frame) cache files contain the needed information and do not build up on each other.
If storage space requires it, the frames not included in the renderings can be deleted. I would keep at least the frame before, as I'm unaware how other renders might require this data for motion blur (Just a gut feeling, as I have no 3rd party render engines here running).
RS Volume will recognize the available range, and if the "Detect Frame" is pushed again, it will set the first available cached frame to frame zero. If you need a different starting point, use the provided Offset parameter.
I tested this all with the current build 2023.1
My best wishes