not necessarily- the expansion of the universe is essentially depends on the mass (and thus the force of gravity) in the universe.
I dont think that anyone has been able to even hope to approximate the mass of the galaxy, that would be like aristotle knowing the exact distance to the sun- a stab in the dark!
Therefore there are three possible universe endings
1. the value of the universal mass is high- the universe comes to a 'big crunch' after collapsiong in under its own gravity
2. The mass is spread out just enough just enough so that expansion stops, but is not enough to shrink either- the universe goes out in the afore mentioned 'whimper'!
3. The amount of mass is small and thus it is possible the universe will carry on expanding
Im not sure of the overall outcome of the last option, i wonder if the mass of the universe has all been created or is it still being created on the edges of the big bang 'shockwave'
any answers anyone?