Unfortunately even if that is true, there is something called as entropy at play here.
Also I would advice you to read Isaac Asimov's "The last question" once. One thing discussed in that book is how quickly human kind or an intelligent being can grow in population and energy consumption.
So even before we reach the point of heat death, if we survive and move out to do the heavens. Then over time, we are likely to run out of resources and space eventually- may be even long before the heat death of the universe itself.