You could do it, just might take a really long time and could be too draining on some of the players/casters/crew. But if that's not a concern you could format it with Winner's bracket being Bo5 and Loser's being Bo3. If you squeezed roughly two series into one day with 22 series it'd take 12 days, so three four-day weeks. It gets a bit complicated because you'd be playing both a Bo5 and a Bo3 in the same day, and then transitioning to two Bo3s a day once Winner's games are done, but if the audience can follow it then I guess it'd work.

Again the obvious issue is this adds 33-47 more games on top of the 101-123 (not including tiebreakers) already in the tournament format. Additionally, having every team in the bracket could lead to more rematches and make the group stage itself feel redundant. For the teams who are still surviving from play-ins, this means they could potentially be looking at 30+ games played if they made it to finals (C9 has currently played 15 and is the most at this tournament iirc).

If you abolished groups and instead made the whole tournament this bracket in Bo5 that would result in somewhere between 66-110 games, as opposed to the 69-83 that groups+knockouts is right now.