Would a high gravity rocky planet be guaranteed to have an atmosphere?

I want to create a planet with a deep gravity well, say about 12G at the surface. At first I wanted the planet to have either no atmosphere or a very thin one. But I want this to be as close to realistic as possible. So, would a planet be guaranteed to have a thick atmosphere with a gravity well that deep?

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Would a high gravity rocky planet be guaranteed to have an atmosphere?

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