Probably.
With the heavy projectile (for a 36 cal) it will need a faster twist than RB twists though. You'll need to keep your muzzle velocities down too, or else you will get pretty severe barrel leading, or blow the base off. That's why the standard musket 58 Minie loads are 60 gr. FFg. 38 Special loads with these bullets seem to recommend you should keep your MV's below 1000 fps. And those start out of a smooth chamber, effectively giving you some freebore before the bullet hits the forcing cone of the barrel. Your charge will immediately enlarge the base and engage the rifling. YOu should also remember that the Civil War era muskets were built with fairly shallow rifling, and designed to be used with the Minie. If you have a typical ML'er barrel the rifling will be much deeper. That too will provide more grabbing action.
So if you do it, go slow and use light loads as you are working your way up.