That would depend upon whether or not ignoring something can be a passive act, or if it is necessarily conscious.
ignore/ɪɡˈnɔː/
verb
refuse to take notice of or acknowledge; disregard intentionally
This definition suggests the latter. But another definition is given simply as 'fail to consider', which suggests the opposite. I'm guessing that the word derives from 'ignorant', and you can remain ignorant of something whether you're aware of it or not.