A book with that exact title doesn't ring a bell, but the 'wrongly accused' trope is massive. If you're thinking of something like a crime thriller, maybe it's 'The Wrong Man' by John Katzenbach? That one's about a professor whose life implodes after being mistaken for a serial killer. The plot spirals into a nightmare of media frenzy, legal battles, and his desperate attempt to find the real culprit before he loses everything. It's less a whodunit and more a brutal look at how fragile reputation and sanity can be once the system decides you're guilty.
On the romantic suspense side, Nora Roberts has a novel literally called 'The Wrong Man.' That's about an interior designer who starts dating a charming man, only to discover he's stolen her identity and framed her for embezzlement. The plot follows her going on the run to clear her name, with a healthy dose of forced proximity with a new, more trustworthy love interest. It hits all the expected beats of the genre—danger, tension, and eventual vindication—but Roberts executes it with her usual reliable pace.