Well, he probably could, but it would not work very well. His downfall here was ultimately a result of his poor recruitment and forcing his style on a group of players that was not fit for purpose. Same with Sarri and to some extent Wenger, who was clearly capable of getting a team to play according to their image in a very defined "style", but that did not mean they were always amazing, far from it.
The challenge in trying to play a possession based system is that you need a squad that is technically adept in tight spaces, is great at short passing and is well drilled and know each other really well. Right now we only have Martal and Mata that fits that bill, and the latter has lost his legs. Rashford, James, Pogba, McTomminay etc would not look at home in such a system.
The vast majority of managers are reactive rather than boneheaded idealists. Ferguson was that, Jose was/is that and Ole seems to be that. Nothing wrong with adapting your tactics and approach to your opponent. What matters is the scoreline, not your style score