Yes, read it while it shakes....It will probably give you a misfire code if the engine is shaking. My daughters 2002 325i does the same when its really cold outside and all spark plugs aren't firing properly. I have her do the same... shut it off, wait a few seconds and try again. It starts back up just fine. I do a fuel injector cleaning with "seafoam" before and after winter, due to the gunk build up from the cold weather.
Good Luck!