The short (and long) answer is that we do not know. The issue of what happened 'before' the Big Bang is very murky with a lot of different theories as well as some wild speculation.
The other thing to point out is that we still have no idea what dark energy is and therefore we cannot say that it will continue continue to behave in the way it does today. Its equation of state could change in the future, leading the Universe to contract. There is no suggestion that this will occur but we really just don't know, since we have no idea what dark energy is.
To make a comparison, during inflation in the very early Universe, the Universe was dominated by something that behaved essentially the same way as dark energy does today, except that for some reason this energy source 'turned off' at some point, ending inflation. We can't say for sure at this point in time that the same thing couldn't occur in the future and that the 'late time inflation' we are experiencing at present could in principle turn off at some point. The is not evidence that this is the case but it is just one of many many possibilities.