Any way this could happen?
Surely this could happen. Many like to say that WWI made it inevitable, but with enough things going differently it could be postponed.
Answers to how the Depression could have been dealt with will probably mainly reflect ideological preferences.
So I'll leave that part of the discussion to others.
I assume it prevent FDR winning.
Yes- I think it makes Hoover into a two-termer
Probably changes other events. Would it butterfly or mearley postpone Hitler takng power
It could do either. It prevents Hitler coming into power in the wake of Hindenburg's death almost certainly. If the Nazis resurge in popularity when the Depression does happen, they would need to come to power through a somewhat different way.
Other events-
It could delay uncontrolled Japanese militarism and aggression.
However it would be more interesting to consider that it might not. Possibly trends in the late 20s Japanese military, rising concerns over nationalism and communism in China and after effects of the 1927 financial crisis could mean that the Mukden incident and creation of Manchukuo happen on schedule.
If so, the western response may not be so limp. Feeling financially secure and powerful in the years 1931 to 1933, Hoover and MacDonald may lead the 9 power treaty signatory nations in imposing economic sanctions and embargoes on Japan, and Japan may not be able to stand the pressure and certainly would not have hope of recourse against Britain or the USA by military means.
In the Soviet Union, Stalin's 5 year plan faces much greater difficulties, because, at least if we believe Adam Tooze's interpretation, Stalin will not be able to buy western talent and technology at such a steep discount as he was able to during OTL's depression.
In Britain, perhaps MacDonald keeps a Labour (as opposed to national coalition) government in power longer, and perhaps gets to expand social welfare policies a bit more. Perhaps Labour could put a more distinctive stamp on British foreign policy and colonial reform.
In the United States, there may be an attempt to uphold prohibition for longer. Black migration from the south continues at a higher rate than OTL.
Perhaps there is a general advance for a few years in basic science and technological application, with greater advancements in television technology and sound and color film.