No way, the two are completely different things. One's a liquid, dehydrated into a powder, not to mention it's milk. The other is cream, mixed with a few other ingredients, and then whipped at a high speed and temperature for long periods of time, turning it into "whipping cream." replacing either one with the other would never work.
Though depending on the recipe, if the heavy whipping cream just goes on top of whatever you're baking, not actually in it, then it's purely optional.