Procrastination is putting off the implementation of a defined goal. So, yes, I believe one can be actively procrastinating.
What I mean is, I don't think there are people out there that are "just lazy" or "just procrastinators". I think the behavior almost always reduces to some mechanism for stress control.
People have told me my whole life to stop procrastinating, to stop being lazy, etc. I'm like "no shit...it would obviously be better not to procrastinate. That's not the problem. The problem is that I know I don't want to procrastinate and I do anyway. And I can't will myself out of it. So basically, nothing you say is anything I haven't thought of already and am not telling myself right now."
Given that I do procrastinate, the way I explain it is this: every single moment that I choose not to implement my task is a cost/benefit analysis problem. So if I'm not doing my task, I've decided that the pros minus the cons of doing my task do not outweigh the pros minus the cons of whatever I'm currently doing. As the deadline gets closer, the cons of doing my task decrease, making me more and more likely to do it.
Sometimes it feels really good to get in there and get the task out of the way before the deadline. But that really good feeling is clearly offset by something, or else I'd be doing that all the time. In my case, I run up against a crippling amount of stress/anxiety, so much so that I can't for the life of me break through it. I don't even really know what it's about, honestly. It's kind of a problem.
Anyway, I've observed that this explanation works in all of the cases I've seen of so called "lazy people" or "procrastinators".