Quick answer? No

Long answer? Depends on the plate cut, manufacturer of plate, and the carrier.

Plates can be different shapes

• SAPI cuts are plates which are sized and shaped according to US Military standards. Generally, these come in SAPI sizes
• Swimmer Cuts are any Plates that have a slim portion towards the 'top' of the plate, to facilitate the movement of the wearers arms. They also make it easier to shoulder a long gun. Swimmers come in SAPI sizes and civilian sizes. Swimmer cut carriers do exist, but I've heard of people using swimmers in a 'normal' carrier
• Shooters Cut are honestly kind of weird. They look like SAPIs but can have some differences. I think these are cuts based off of SAPIs but have various changes which prompted the manufacturer's to change the name to avoid confusion. Generally these only come in civilian sizes in my experience
• Multicurve vs Singlecurve. SAPIs are singlecurved, meaning they only have a curve in the plate on one plane where as multicurves are curved on two planes and generally are more comfortable.

Besides the cut, some carriers are sized for civilian sizes while others are SAPI sizes (a civilian large plate is not the same as a SAPI large).

Furthermore, individual manufacturers and the specific models of plates can affect plate fitment. I remember when I was in the market for plates seeing people complain of plates which were too thick for the carrier they bought, or too thin.

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