Maybe there is; I haven't given it enough thought to venture an opinion. But in this case it would not apply, even if true, as 'getting involved into'' is not possible.
There has been a tendency for the last fifty years (in BE; maybe more in AmE) to describe someone who is involved in something as 'into it' - they just ARE into it. Even this very idiomatic and informal usage doesn't include getting [STRIKE]involved into[/STRIKE].
You are perfectly right -- and I was accidentally wrong. Have mixed something up with the verb -- :Fade-col: