Apparently not
Bloomers report that the EU may not authorise Brexit talks until 20th June
It looks like a Bloomberg sources story saying that the EU is looking at a ministers meeting 20th June to authorise the start of negotiations with the UK.
Whether the EU can wait after May pulls the trigger on art50 is another matter but that will be in the fine print. I suspect that behind the scenes, all the negotiating time tables have been largely agreed between the UK and Europe.