Not specifically, but here I suppose that is what he will do. See to = take care of; be responsible for.
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LiveinjapanWill you see to my baggage?Is this really common, or just a regional thing? I googled for "Will you see to my baggage" and got one single hit, which is this thread itself! (Google is marvellous. This thread is less than 2 hours old.)
This is, I think, the line we normally say to a bellboy,....