Both objects have the same gravitational "pull" outside the star's radius in the main sequence state (normal state). Since the 'normal state' star has the same mass as its final state as a black hole, then anything beyond its 'original radius' behaves as normal.
Now say your normal state star collapses into the black hole, if you were able to go inside the normal's radius (distance from the center to the surface of the star before it collapsed) while in black hole state, then escape speed = 'c' and you're shrecked. If you were able to hover exactly at the radius, then you'd be squished and torn apart due to tidal forces and event horizon on the inside. If you orbited the black hole just beyond the normal's radius, then all would be well... You still have a chance to build up enough speed to escape.
But no, black holes would not 'develop' around the star before it collapsed.