Yes. It's called four stroking. And it's not uncommon on two smokers. Because there is no exhaust stroke on a two stroke, if the mixture does not fire on a cycle, a lot of it will remain and mix with the mixture on the next cycle.
If the cylinder is running lean, there may be too much air for the amount of fuel on the first cycle. So the cylinder does not fire. Then on the next cycle, some more fuel is drawn in and now there is enough
(Perversely, the same thing can happen with a rich mixture, just reverse fuel and air in the above).
You need to look at your induction system. Either you have an air leak (carbs, joints, seals), or a blockage. The former is more likely . It is unlikely to be over richness because you say that it races at idle, which is diagnostic of a lean mixture.
(Four strokes *can* do the same thing , called eight-stroking, but it is very very rare. Four stroking on a two smoker is common, it's part of the two stroke experience. Thaz why we luvs them

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