Yes, but that's not the point: modern games are equipped with coils designed to be driven by 50 - 70 V.
Your game has coils designed to work under 24 VAC.
Over a given period of time, the energy conveyed by DC is already higher than the energy conveyed by AC given the same voltage
Energy over time is power
So, driving a 25 VAC coil with 25 VDC will already produce a much higher power (both mechanical and heat dissipated).
But driving that very same coil with 35 VDC will definitevely put it under a lot of stress.
And not only the coil, but also the mechanics associated to it.
if you ever got a bent bumper leg which causes the bumber to remain stuck and quickly turn into a barbecue starter, you definitively will risk it now
And I'm not even talking about broken plastics
In this article, you will read an example of calculation on how to drive a coil designed for 120 VAC with DC.
The result is.... 34 VDC !
http://www.ecmweb.com/content/using-ac-coils-dc-power
I don't want to argue, but as you can see, I'm afraid you are taking some risks....
As about coils that will overheat, of course, it appears very rarely under normal conditions.
But you have to take into account the failure mode of your components.
Since MOSFET's failure mode is, in 90% of the cases turning dead short, your PWM is voided and your coil receives a full hit of the power supply
Furthermore, the High voltage rail may be sent back through the Mosfet's gate to the driver circuit, causing more failures in both the command circuitry (if not isolated through an opto-coupler) and causing a total collapse of the PWM circuitry.
If I were you, I would have an in-depth look on that awesome design of yours, just to be sure to not have it plagued by recurrent technical issues