The requested charging time is 10 ms, so current is 800 rather than 80 A. It's surely doable using IGBT converters. Inductive components for this current level can't be ordered off the shelf but need to be custom made.
The instantaneous power required to charge the capacitor is really large (several 100 kW), you'll preferably have a larger storage capacitor or super capacitor to provide it and get only the power losses out of a power supply.
All in all, this is big power electronics project, needing considerable resources and knowledge.