Short answer in my opinion is no. Hitler was the singular vision behind the series of wars that he saw as a stepping stone path to world conquest and it was his focus to commit the extermination of both Slavs and Jews despite the background of anti-Semitism and anti-bolshevism in Europe as well as the right-wing passion to redress Versailles. Without him as lightning rod we do not get Germany moving as it did, the various plots before the Sudenten crisis show that the Generals were rather sober-minded despite assuming war was likely the only way to gain back the lost territory and regain the top spot in European politics. The German patriots might want very badly to end reparations and get back the lost territory, Pan-Germanism was pulling to bring the German minorities into Germany along with Austria, but I do not see any of that pushing for the war without Hitler's vision. Hitler was a gambler and had a predator's nose for weakness, he played a very risky game and I do not see anyone else in his seat. Now I might suggest that longer term the tensions would be mounting, especially between a rather chauvinist Poland and a very insulted Germany, the ethnic Germans likely would continue to add heat to Czechoslovakia, but that friction was ready to get redressed as the memory of WWI faded and new eyes looked to put Germany back into the family of Europe. The wild card is the USSR, we tend to overlook that Stalin had a similar drive to restore the Empire's borders, he went at Finland and I think he still would, before that he went as Poland and likely would again, he had pieces on the edges like Bessarabia, and until Germany recovered from the depression and the Allies get stronger Stalin harbored dreams of bringing his rule to all of Europe. We might have gotten a war yet, but not the one we know.