That's in interesting observation. Yes, the same thing happens at the leading edge of a flat plate due to curvature resulting in flow separation and a vortex bubble on the top surface. If the flow doesn't separate, the velocity at the front (leading) edge of the plate will be infinity.
The result is a vortex bubble over the flat surface which effectively changes its geometry and aerodynamic behavior. See figure 2-12 in the following link: