Can my wife file a petition for divorce just for the money reason?
No this no ground for divorce, at least in India. The ground of cruelty for divorce include many acts but to say that if husband is unable to afford or pay the foreign university fee for the wife, she can use that as a ground for divorce because by not paying her foreign university fee he is committing act of cruelty, no Family Court in India will take that plea for granting divorce to wife.