I think you could likely retrofit something, somehow, if you’re stuck…have a look and compare the coils from the slightly later models that came along just after the 2.2. Like the merc 2.5/3/3, Mariner 2.5.3.3 and the identical tohatsu version too. Almost identical things to yours.
All that said…I’ve had half a dozen of these things and their later variants as above, over the years. Never had any issues with the coil failing on any of them. It’s likely you’ve found her failed by testing and confirming as much with a resistance test…but if not…I’d maybe do so or check elsewhere for the fault. Like the ht lead or even the plug. Even the stop switch circuit being to blame or shorting somewhere, might be just as likely or more even, than the coil. Best of luck either way. Great wee engines