It can. You can tell the truth in a way that is designed to mislead. (See almost every political statement that isn't an out-and-out lie. See much of advertising. See many statements by CEOs. See many statements by government spokespeople and diplomats. And on and on.)
The facts can be true. The narrative isn't necessarily true, and isn't necessarily the best interpretation of the facts.
The facts can be true. The narrative isn't necessarily true, and isn't necessarily the best interpretation of the facts.