Can Air Force officers switch careers?

I am going to be an officer and I would like to obtain one of the aeronautical and one of the occupational badges, So can I be a pilot for like 6 years, then a logistics readiness officer for like another 6 years, then become a command & control officer for the rest of my service time(probably more than 20 years). Can you do this or is it limited to like 2 occupations or what? Any advice would be great! Thanks.