I think that could very well be the case and i don't think Chloe would have been very far behind in the voting!
That's obviously why they pulled that crappy envelopes thing out of their asses. They knew that the chances of any of the original housemates choosing Jack or Chloe to be evicted on the spot was extremely slim and that's why they asked Joel to make the announcement to.
We know what Danny's like for railroading people and there's a good chance if they'd asked him to announce the housemate he'd have just said Jack or Chloe (probably Chloe) to get rid of one of the people he sees as his main competitor in there!
I'd actually much preferred Harry and Sam to be there for the final and Cristian and Chloe to have gone! The house seems dead since Harry and Sam left.