I don't think so.

In terms of universal entropy, there's still tons of energy locked away in local maxima all over the place - and life is fantastic at finding ways to pull energy out of local maxima and helping it towards a more global maxima, while going about its business of riding more mundane energy gradients.

For example, there's plenty of nebulas that aren't likely to form stars anytime soon, and I'm sure the universe would love someone to plough a bussard ramjet through - and as long as there's elements other than iron that could be fused for more energy than it takes to bring them together, there's energy gradients out there for life to ride.

Also, there's been a thing floating around just recently that suggests we may actually be somewhat early at becoming complex life