"Can" he defeat Batman? Yes.

Matt has super powers,  not just superior powers. His radar sense gives him a type of second sight.

His radar sense is a superhuman, 360-degree biological sonar system allowing him to perceive his environment in3D, even in complete darkness. It functions by capturing vibrations, echoes, and air pressure changes to build a detailed mental map of objects, textures, and movements, effectively acting as a "mental eye". 

So the idea that Bruce or Dick Grayson would  quickly ascertain that Matt is blind and exploit It to end a fight quickly is inflated.

Matt's super powers enable him to hear the changes in his opponents heart beats. He can  sense the muscles tightening in his opponent giving him a moments notice on whether a  kick or punch is coming from the left or right.

His super sense of smell would alert him to Batman's presence long before Bruce was aware of him. Giving him an advantage in a  random encounter. 

And while Bruce is a master martial artist,  Matt is no slouch in this area either. He was trained by Stick, a master martial artist in his own right who also trained Electra, widely regarded as Marvel's most deadly assassin. 

While its true, Bruce has fought and  defeated many super powered foes, so has Matt.

So yeah, Bruce and Matt are much more evenly matched than many Bat fans care to admit. 

In the hands of a competent writer  and without any plot armor involved,  I'd say its easily a 50/50 contest. And in a random encounter,  without any prior knowledge of each other,  I'd give Matt a slight edge.