To answer your your question, yes. But the yes comes with lots of dependencies. Most importantly, the business need for the other companies at the time to switch.
In Accenture, you are thrown into situations that you have no clue about, and I am assuming that's the case with any top consulting firm.
The brand will help you get into other firms, but be ready to justify why you want to move. They could come back with you could have just switched workforces within your own company.
Moving from Technical to MC are somewhat similar. If anything, the experience you get from Technical should help you in MC. In technical you actually execute, and in MC you do strategy to get the technical aspect going. So if you understand the technical, then you should be able to move to MC.
Hope this helps.