Sure, you could cobble something up and have it work. Best would be to use an actual backplate though and bolts that screw into that, to minimize bending of the board PCB.
Screw-in heatsinks can apply far more pressure for better performance, because push-pin types are limited by the rigidity of the board against bending. But if you care more about convenience than performance anyway (after all, you bought a push-pin cooler in the first place), then it's usually easier to just borrow a replacement push-pin from a stock cooler.