Yes, I suppose it is plausible that someone would stand on a bridge freezing their ass off waiting for a blind date who caps them instead and in a moment of remorse, ends it all.
It's also plausible that the deceased was a double agent, was capped off site, carried onto the bridge by a Special Forces operative who dumps the body and is lifted from the bridge via a cable dropped from a helo. The cable nicked the bridge railing, and the hole in the ice isn't even germane to the scenario, as it was caused by an ice fisher earlier that day.
Like I said-a stretch