I don't think so.
You can't get EB-1 status unless you are already on some visa (H-1, O-1, etc). Once you start the green card process, at some point, you'll get paperwork letting you travel even though the green card has not yet been approved. Prior to that, you cannot unless your existing visa (H-1, etc) is still valid.
EB-1/2/3 are categories under which you apply for a green card - they are not visas.
