I could envisage a draw if England were batting first. That can create a scenario where India might be playing catch-up and eventually decide to bat out a draw.
But if England (as they are here) end up batting second/last, which they often prefer to do under McCullum and are concurrently building a decent record in run chases, then a draw becomes unlikely, because England will always go for the win even if the calculation makes this difficult.
If for example it’s 400 from 90 overs for England to win on Day 5 they will absolutely go all out for the victory, even if this takes the draw out of the equation and risks a loss. A few losses have already been priced into this style of play and McCullum / Stokes / Key are fully bought into it.