The 'tube' is misleading.
So, I'm understanding that you tried to put in a new spark plug, and then the socket jammed up.
To me, yes, that sounds like you tried to cross thread the spark plug. The only way to get it out would be to unscrew the spark plug. That is, get a breaker bar on an extension, and punch it widdershins. (Counter Clockwise)
Even if you can get it loose, there's a good chance you've mangled that section of the head, and redoing the thread would still be best with the head removed.