Hey there, as you have told that you did diploma in civil engineering and then a hotel management course, as you have mentioned you have completed your graduation. You can always go for MBA if you have more than or atleast 50% marks in graduation you will be elegible to sit for various enterance exams like CAT,GRE,etc

so the ans is YES you can go for MBA only after graduation.

Hi,

According to the eligibility criteria for MBA session 2021-23, the candidate must have completed Bachelor's degree in any discipline from a recognized university or college. Also, the student must have scored minimum 50%  in graduation for open category or 45% for reserved categories. A valid score for any entrance exam for MBA is necessary.

Since, you have completed your Bachelors you are eligible for MBA entrance exams. Admissions for MBA are on the basis of entrance exams.

You can refer to this link for more details: https://bschool.careers360.com/articles/mba-admission#MBA-Admissions-Eligibility-Criteria-202123

I hope this helped you.