Yes, when I was having a bad time with the ectopics last year, and first started the walks, I would get bigeminy/trigeminy at the beginning of the walk. But I took it slow, just walking rather than trying to jog or run because if I had skips AND did something that naturally made me short of breath, the combination of sensations was really unpleasant even if it wasn't dangerous. After I got to where walking cut the palps down, I tried jogging a bit. That made the bigeminy come back and combined with being winded from jogging I had to stop... I think if I'd kept pushing at that time I probably would have hit another 'second wind' but at the time I didn't feel like I needed to try.
Back then other kinds of strenuous exercise, like hoeing in the garden would also bring the bigeminy back, but I would ignore most of it and just take short breaks if I felt I had to. Eventually it tapered off and now I can do the things I couldn't do before, like shove the heavy push mower around in 90 degree weather without any incident (other than nearly giving myself heat exhaustion =P) And now I can jog at least as well as I used to before, but it's not really my thing.

As for whether the exercise cured me? I attribute the proving to myself that it wouldn't kill me, and side effect of regular exercise helping to lower my general stress levels more than just the exercise itself, but either way I do think it definitely helped!