Often yes, if a listed interlock exists for that panel and a generator breaker can be placed where the kit will block the main. A 200-amp service makes a larger inlet (often 50 amps, or 12,000 W at 240 V) more attractive than on a 100-amp panel, especially if you hope to run a well or an air conditioner later. The interlock still does not automatically shed loads. The risk on a 200-amp panel is overflowing a portable generator because so many breakers are tempting to close.
Match three sizes on purpose: the generator’s output and its own breaker, the inlet and the cord, and the generator breaker in the panel. A common r/Generator caution is that a larger inlet is acceptable when the generator’s breaker is the protection, and that improvising the other direction is how people get into trouble. See the 30-amp versus 50-amp inlet page.
A 200-amp interlock is still a manual method. If you want unattended backup, you want a standby generator and an automatic transfer switch, not a bigger sliding plate. Use the calculator, and keep the EV charger off during an outage unless the generator was explicitly sized for it — see that combination page.
This is not a permit calculation, a utility approval, or a substitute for a licensed electrician, HVAC contractor, or the authority having jurisdiction. Panel Headroom is an independent educational site. It is not a utility, a certification body, or a contractor. Electrical and generator work that is done incorrectly can cause fire, shock, or carbon monoxide poisoning. Use the adopted electrical code and manufacturer instructions; pull permits where required.