Copper for barter? No. Gold and silver wouldn't be any good for barter, either. For barter, you probably want booze, tampons, condoms, diapers, medicines, ammo and cigarettes.
As a store of wealth? Well, maybe. Gold and silver are better. Actually, silver is more scarce than gold and used more in industry and that's where I'd put my money as a hedge against the dollar crapping out. I personally wouldn't consider buying copper except for maybe a few rolls of 20 or 30 one-ounce rounds. If you have a great line on bulk copper and can get a great deal on it, it might not be a bad thing to have a few pounds.
A store of metals or other raw materials is what you use to get back on your feet after a SHTF situation. It's not what you use during one, though.