I think stimming often takes on a broad definition to include any little thing a person may or may not do every so often. In that sense, everyone could theoretically stim.
But specific stimming is usually a noticeable, repetitive, and specific action. I don't think everyone with AS stims. It's also possible for a person to outgrow a stim, or only stim when in a specific situation, usually one that makes them feel socially uncomfortable, moreso than normal.
I think someone with AS is much more likely to stim than an NT. But I don't think stimming is a prerequisite for AS.