grammar - Why not "I opened him the door"?

In actions that involve another person, we can structure sentences like the following examples:

I drove him home.

I cooked him a meal.

I gave him a spoon.

I threw him the ball.

I'm not sure of the name of this grammar pattern, but the use of the pronoun "him" is simply a shortening of "for him" or "to him" or "at him", depending.

Is there a reason why we can't (or at least, don't) say:

I opened/closed him the door.

to mean "I opened/closed the door for him"? Is there a grammar rule, or is it just not idiomatic?