Not especially. The Champion has shat on Jedi and Sith in fights, even especially powerful ones:
Kellian Jarro: Killed a hundred veteran Mando's in the Sack of Coruscant, described as 'an unstoppable force of nature, deflecting heavy blaster fire and slamming armor-plated warriors to the ground so hard that their rocket packs exploded on impact.'
Jun Seros: The Jedi Battlemaster, never been defeated in battle, capable of catching missiles in mid-air with TK.
Darth Tormen: Powerful Sith Lord. Once instantly blitzed a Sith Lord who challenged him. Rips consoles out of the ground to throw at the Champ.
And he has plenty of other amazing feats such as defeating a Mandalore candidate after getting shot 3 times with a sniper rifles, killing a Sithspawn that generations of Mando's had failed at, fighting through a Jedi Enclave, fighting through the Supreme Guard (the chancellors bodyguards) and defeating a Jedi-led strike team that defeated all the previous Great Hunt Champions together (indicating he's better than all of them combined).
My Champion is black. AND a cyborg. Game set match. (please log in to view the image)
Not really as Grievous has enhanced speed and sensors that allow him to keep up with Jedi. If the Great Champion is indeed a cyborg with speed enhancements its plausible he could defeat Bariss. If not its ridiculous. No unenhanced human should be able to keep up with a force user.
As I've said in the past, all TOR characters have access to implants that can enhance capabilities (brought up in a quest, so its not just gameplay) as well as use stims to do the same. And there is the cyborg thing.
Either way, TOR era Non-Force sensitives clearly can keep up. They're even shown dodging lightsaber strikes on occasion.
Doesn't GG have magnets built into his feet and claws to grip on to the ground to prevent that kind of thing?
Perhaps. I do seem to recall him having magnets in his feet but I don't remember if that is for preventing against the force or something else. Either way, several times powerful Jedi have floored him with the force so my point still stands.