Yes. Equality counts as success (hence the wounding of the opponent; success = inflict wound), just like in regular skill tests, shooting, etc.
Note in the rulebook v1.1 on BGG, the image of the Martial Artist shows his text as "Heroes must reroll Hits against Martial Artist.", further substantiating this reading of "success.
Every other reference to "success" in the rulebook includes equality as a success; the brawling section of the rules never uses the word success, only talking about wounding (or not) as the possible outcome. There is no other available interpretation that fits with the body of rules text.
I've put in an email query to GF9 on May 23 for an official word (as well as posting in the BGG forums -- with predictable responses there so far).