I think it might be possible.
If you consider the pipes both rise vertically from the stove.
The tank has been heated, and the stove then cools, the tank will be the driver.
This could start the flow in reverse, and there may be enough flow to maintain it even with the stove heating again.
There may be very little difference in height of the flow and return pipes on the stove.
One possible cure may be to drop the return pipe at the stove right down to ground level then bring it back up to the return connection.
If you consider the pipes both rise vertically from the stove.
The tank has been heated, and the stove then cools, the tank will be the driver.
This could start the flow in reverse, and there may be enough flow to maintain it even with the stove heating again.
There may be very little difference in height of the flow and return pipes on the stove.
One possible cure may be to drop the return pipe at the stove right down to ground level then bring it back up to the return connection.