Hello,

Yes, definitely you can go for MBA after doing graduation in mechanical engineering.

Its a good option and when you have interest of doing this than its great.

All the best.

Project Management and Operations both can be excellent for Mechanical engineering candidates a sthey shall learn about execution of projects and operating scalability of all projects withij deadlines and cover all supply chain and total quality management aspects. 

Mb ain Project management in your case is highky lucrative. 

Definitely there are alot of opportunities for you. You can go for production management, operation management, Programs like Six Sigma, Business analytics and alot more.

Don't limit yourself to one field, the ones that I have mentioned are all related to you in one way or other. And once u get into Mba/Pgdm program you can decide then-after which field to specialise.

Your expertise will always help you if you want to go for production management, but exploring different domains, will give you a diverse profile on which you can capitalise and convert into future opportunities.