You'll put pressure on Carney in order to go after Poilievre? That makes sense. /s
On the off chance you mean that Carney is more likely to win the next election if he does what the left fringe wants him to, no, not really. That's questionable against any candidate, and this particular Conservative leader specialises in stirring up outrage over ambitious policies.
He also made commitments that were pretty mild in the first place, aside from cuts to spending that he probably can't deliver.