Can I pursue general MBA after completing BBA in aviation operation?

Yes you can surely do it, it will give you an overall view of businesses administration which would be good for you in future. But when you actually get into working, you might go a little haywire so take care and decide on specializing into something that you can do.

Yes, you can pursue MBA. In the 1st year, you will study normal management subjects and in the 2nd year, you can select your specialization but I would suggest you to pursue MBA in aviation management as it will you give you better placement and wide scope as you have already studies aviation in BBA

Yes, you can pursue general MBA after BBA in aviation operations. In fact any person who has done graduation irrespective of their field can pursue general MBA.