No, a student can?t have a stay back in Australia with a course of a time span lesser than an year. One can only apply for a stay back if he/she fulfils the criteria enlisted below. ? The applicant must have graduated from an Australian educational establishment or acquired a master's degree or PhD not more than 6 months ago. ? Should have completed a bachelor's degree or greater scholarly survey of at least 2 years in Australia. However, in this 2-year period, you may get a single or various degrees, which is impertinent. ? The course of study should not have been completed in less than 16 months. ? You must have studied a course / courses offered by CRICOS (Commonwealth Register of Institutions and Course for Overseas Students) and accredited Australian education providers. i used Admissify.com - they found certain courses and universities as per one's individual goals, requirements and qualifications.