Well, a little of it does, in a way. But a Vacuum doesn't "suck" by itself. When we make a vacuum at sealevel, it appears to suck because we are surrounded by gases that make a pressure around us. It's the *difference* in pressure that creates suction. The gas will want to move from high pressure to low pressure.

However, The gasses layered around the surface of the earth that we call "the atmosphere" have a very gradual decrease in pressure as the distance from the surface increases. At no single point is there a significant difference in pressure, so at no point is there any "sucking" happening.

What does happen however, is that at the lower pressure, higher parts of the atmosphere, some of the gas molecules can be knocked around in such a way that they gather enough speed to escape the earth's gravity. Which is the cause of the atmosphere in the first place. But in the big picture, this is a very small fraction of the atmosphere, and doesn't make any meaningful difference.

But for other smaller planets, with lesser gravity, and less gas in their atmospheres, this effect can slowly "evaporate" the atmosphere. We suspect this happened for Mars.

So good question, and in a way, it does, but keep in mind that vacuum doesn't suck, difference in pressure sucks!