I am totally out of my mind. Can this sentence have different meanings?
4) Drunk or otherwise intoxicated
5) Extremely worried

There may be others.

The thread title, however, was "Out of YOUR mind". This phrase has even more meanings. It could just mean, for example, just plain wrong (in my opinion), as in the following conversation snippet:

A: I think Arnold Schwartzaneggor will end up as President of America
B: You're out of your mind

the different meanings for "totally out of my mind" may be:
1) being terribly confused (ie whether to do work a or work b or work c)
2) being in a state of "blank" mind ie not knowing what to do or how to start doing somenthing
3) speaking or behaving like a lunatic.
hope this helps
 rommie's reply was promoted to an answer.