In my opinion - yes, you should be able to lose that amount by July 19th.
For more concrete idea - have a look at SnS/Cambridge/Exante/Lipotrim forums - have a scout around and look at people's signatures. That will give you an idea of weekly losses expected on average on a VLCD. They're all the same in that respect.
BUT - don't look at mine - I'm an exceptionally slow loser ... an anomaly. Everyone else is MUCH faster than this!!