My guess is it'll be too expensive to deliver that service at a price point anyone will be comfortable with. What are the margins on storage locker businesses? There are a lot of them, and they seem like a business with very few competitive barriers except for real estate costs, so my (uneducated, untested) presumption is that the margins on those businesses are bad.
To that business, add truck rolls. Your costs just got drastically worse (and in unexpected ways: for instance, a business that requires people to operate motor vehicles is much more difficult to insure). How much higher can you jack the price to compensate for that?