No, not really. I believe that the stance is that Britain would be free to make it's own law regarding immigration in the event of exit, but that reduction would not concern lessening current immigrants, but rather, restricting future immigration.
Sent from the boot of Lingard
I think you are missing the point. If the services such as education and NHS are currently overstretched then slamming the door shut on immigration (and assuming there aren't floods of people leaving) the NHS and Education will be in the same situation they are in now, ie overstretched. If Brexit are merely saying they are going to control immigration that means there will still be people coming in and assuming the same amount don't leave then the population will continue to increase and those services they are banging on about will become even more overstretched.
Perhaps they should institute a Dicks Bar Immigration Policy, ie one in one out!!!!