The answer is YES. This is how it works.
Osmosis is a type of diffusion, where liquid of a high concentration
moves to a region of lower concentration if the two are separated by a
semi-permeable membrane.
In strawberries, the outer membrane of the fruit serves as the
semi-permeable layer between the fruit's interior and exterior. On the
interior, the strawberries' water is already mixed with natural sugars.
Added sugar on the outside of the strawberry absorbs water on the
exterior, changing the concentration of water on the exterior compared
to the interior. The water on the surface of the strawberry is less
concentrated with water molecules than the liquid in the interior. As
such, the laws of osmosis force the more concentrated water molecules on
the strawberry's interior to move outside to the strawberry's surface.