Can I get in trouble at school for my Twitter posts?

[ADHDiva]

I asked this in a different section but got not real answers and just called got called arrogant and immature.. anyways. I'm not going to post the whole thing just parts.

Can I get in any trouble from my school if NONE of my tweets are about the school or any of the administration, I'm not cyber bullying anybody, I have no pictures of me doing anything illegal, and nothing I post is from a school computer or while I'm at school? My 'bio' doesn't even say what school I attend.
I'm a senior at a relatively small school in California (maybe 600 students at the most, not even 150 in my class) and I was told I need to "clean it up or make it private". I don't take the internet or any social networking site seriously, and just post random things. Sometimes they're considered inappropriate, but it's as a joke. And it's never something extreme where if someone who's friends with me or knows me sees it would be concerned about me.
I've never said anything mean directly to someone at my school, or even indirectly about someone at my school.
So can I get in trouble for simply just saying inappropriate things that have nothing to do with the school or anyone who goes there?

I'm not asking you what you think of me or how I should change, I'm just asking if my school can do anything about it.
if you think I could get in trouble, what would it be for?