Yes, but remember, any time the stove is on, it's heating the water in the coils and must have circulation. Otherwise it could turn to steam. If I remember right, when water transitions into steam it expands 16x. That quickly increases pressure. You could have an explosion, probably a hose, but it could be the tubing in the stove. You should have a pressure relief valve, like a home water heater, in the line, close to the stove as practical. I don't think you need a very big circulation pump. I'm guessing 2-3 gallons a minute or less. You could add a car type heater in the line to supply heat when running. Picture is what I use. One in each cabin or a couple in the main cabin. 28,000 or 40,000 btu.
To get the most out of the heating process, insulate the lines. Add shut off valves so if the lines to the stove leak, you can shut them off when running the engine without having to shutdown and drift. I'm guessing the engine lines are 1/2" and the coils are probably smaller, so you may need a regulating valve to slow the flow. Otherwise the the coolant may pass thru the stove too fast to pick up any real heat.
I use a pellet stove to heat my boiler/hydronic system. On each line I have a tee with a temperature gauge in the center port so I can see the water temp in & out of the stove. I use a 3 speed circulation pump to control the water temp.
