It's an unusual request. I've been here 18 years, and it's a first for me, hence the time required to give you an answer. We don't have a straight answer for you, as it stands. We have to go in parallel with what the chamber does.
It's possible to pass a piece of legislation in the House at all stages, but it requires unanimous consent. Here's the question: Can we pass through clause-by-clause at committee in one motion? The Standing Orders tell us that we have to go through clause-by-clause. If we take a parallel with the chamber, we come to the same conclusion, that it would require unanimous consent to do it.