I mean, can he coach without the parts he needs to play his system? Yeah, I certainly think he can. He's smart enough, and he has a philosophy that can be taught. But he definitely knows he doesn't have to grind it out, so why should he? His track record has shown that he needs players who can play his system. It would be interesting to see him take a mid table club, and then try and push them, but his past performance means he does not need to do so. Honestly, I think he could do it, but having basically become accustom to a certain standard, I think he would say screw it and leave as soon as it got a bit frustrating.
For what it's worth, even Klopp needs a certain level of support and quality. I think some of the difference between a Pep (and for some extent Mourinho in his past three or four stops) is they rather throw money at the situation, rather than improving players they have, or finding ways to use what they have. Whether that's for expedience, or just out of the sheer fact they can, I think that's a debate. Rationally, I think Pep knows that his management has an expiration date, and he doesn't have two or three windows to try and see a player get better. So he rather just bin the player, buy someone new and move forward. That pressure does have the impact of some players performing better, but it certainly leaves a path of wasted money and destruction in some players confidence.
Klopp to a fault, is loyal to his players, and I think he sometimes would stick with a guy much longer than Pep would. However, I think his eyes have been slightly opened to how efficient sometimes just paying for players you want can change things. Klopp of Dortmund would probably have gone a different way than VVD when they couldn't get him. He might have decided I'm buying a player who's a bit less, or gone with what they have. Klopp of the past might have persisted with Karius or Mignolet for another season or two, because it wasn't showing loyalty to upset the apple cart. I think how well Alisson and VVD worked out means he probably would be a bit more ruthless if it came down to it. I have no doubt in my mind that Pep would sell anyone on that squad and bring in a better player in a heartbeat if it meant 3 more points. But even saying that, look at the massive turnover of roster Liverpool have seen. Other than Milner, Firmino and Henderson, pretty much everyone is new. He's gutted the squad.