Yes, technically the person or company who is shipping with UPS (or FedEx for that matter) can redirect shipments. Sometimes it's expensive, sometimes not so much. Regular folks receiving do not have as much control.

I've never done it personally but when I worked at Polk Audio way back in the day they had a special application that interfaced with UPS and they could reroute things already in route. I don't know what the limits are, etc, but seems doable.

Having said that I doubt they'll do it once it's out the door.

Your card being charged doesn't really matter. If they wanted to they could totally redirect the package and reverse the charge. Amazon does tons of refunds every day like that, they don't hurt the company's standing with the payment processing companies like chargebacks do.