If we are really being asked if this is permissible, I would have to check the procedure manuals. If I limit myself to the powers of committees, they are to be able to call witnesses and report to the House. If you really want to know the specifics, whether the committee can ask only some of its members to take any action, I would have to check the procedural manuals.
On May 3rd, 2021. See this statement in context.