It's possible. Absolutely.
I have one more quick response to the comment you made...I think it was in respect of the appointment process of judges in the United States.
It's not necessarily the case that providing a parliamentary committee with authority to consider removals from public office would lead to more objective or justifiable decisions, and in some cases it may equally compromise the independence of the agency. You're just shifting the supervisory function from the executive branch to the legislative branch, and there is a risk that that could also compromise the independence of the agency.