I am not sure if I understand the question completely.
Of course you can apply, nothing can stop you. Your current experience will (probably) not be counted heavily (unless you are already quite senior in your current role). So you would apply for an entry-level position (usually called Associate or Consultant). the exception would be a firm with a heavy focus on Accounting and Controlling, like Horváth & Partners.
What I don't get is the second part of your question: "Does my current job experience support or any chance that the same as Management Consulting ? "
Am I to understand that you want to know whether Management Accounting and Management Consulting are the same? No, they only both have the word "Management" in it. Or was that not the question?