The committee could do that, but it would do it at its peril if the House later were to decide that it had acted without properly satisfying itself that the person had been served. So yes, the committee could do it as a practical matter, but I'd be concerned that later the committee may be contradicted by the House and the House might decide no, that's not good enough. As an abundance of caution, if time permits, I would recommend the committee go to the House and get the House to deem the person to have been served for purposes of the committee proceedings, and then the committee returns to its business with that order made.
On June 15th, 2010. See this statement in context.