Strictly speaking, no. But there are huge energy requirements for powered flight, so a cold-blooded animal (hence with slower metabolism) would necessarily either not spend much time in flight, or it would have huge wings and its flight would consist almost entirely of gliding.
However, I would suggest that evolving endothermy isn't as big as a hurdle as you might envision - at a fundamental level it's just a faster rate of metabolism.* Just make your wyverns warm-blooded and there's no issue. The reason why most animals aren't warm blooded is because it's a high-cost way to live, it isn't actually a complicated thing to do in principle. It means you have to eat more food and more frequently. Basically, it allows you to do energy intensive tasks more easily, but at the cost of forcing you to live an active lifestyle.
A warm blooded lizard isn't a stretch at all. Endothermy has appeared multiple times in vertebrates, including in mammals, dinosaurs (maybe not all dinosaurs but they got there eventually since birds are endothermic), pterosaurs, ichthyosaurs, and even some species of fish. In fact, some species of lizards are partially endothermic, discussed in an interesting short paper by Glenn Tattersall. If your wyverns have an active, flying lifestyle, it's scientifically much more believable that they would be warm-blooded reptiles than that they would be ectotherms like most lizards. You needn't make them as warm as mammals or birds. Endothermy is a spectrum, your wyverns could be somewhere between lizards and mammals and still be believable.
*It's a little more complicated than this; you also need some extra insulation to maintain the heat generated by the increased metabolism. Hence why mammals have hair, dinosaurs had feathers, and pterosaurs had pycnofibres. But you did mention in your other question these wyverns have feathers.