I feel like I might be missing an important line somewhere that explicitly answers this but. . . . .

A player presented a build idea to me for his attack rotation.
-Brutal Pummeler Brawler archetype-

1. Make an attack action
2. Make bonus attack via brawler's pummel
3. Sweeping Kick (open hand) the same target
4. Greater Trip (Combat Feat) for attack of opportunity
5. Spinning Heel Kick (open hand) an adjacent enemy

Would this work? How many things can you tack onto an attack action?