I suppose it's possible, but Mazda and Protégés are known for having Really Tight Wheel Bearings !!
I remember mechanics that would include the price of a new CV shaft in their bearing replacement quote.
They wouldn't even try to remove the bearing. They would just cut the drive shaft off at the knuckle and take the entire knuckle to the machine shop to have the bearing pressed out and a new one installed.
I remember Jackie Chan used a ¾" drive socket set (that's what I used too) and a sledge hammer to pound the old bearing out and the socket Exploded and put a chunk of shrapnel in his leg, just missing a major artery.
That bearing press tool in the video looks promising, but that Huge Bolt that does the pulling has a pretty coarse thread.
I'm picturing needing wrenches with two foot handles to get enough torque to push the bearing out.
I'd put some anti-seize on the threads of that bolt too, to help the bolt along.
One guy bought a 5 ton press to press his bearing out. He said it went off like a shotgun blast when the bearing finally released, and Scared the s*** of him.
I had a ¾" socket set to remove the axle nut, and had to put a 4' metal fence post on the handle and jump on it to break the nut free.
So, I'm guessing that the bearing press tool may work, but be prepared to struggle with it.
New CV shafts aren't too much money, and you might want to consider just cutting your shafts and taking the knuckles to a machine shop.
You'll probably save yourself A HUGE Headache.
Don't forget to remove the big C-Clip before you start pounding.
I remember one guy that spent ½ an hour pounding before he remembered to remove the Clip.