No, 2.5 weeks isn't too early to shoot for a consistent morning wake time. (babywisemom.com)
Also, make sure that you get out of bed within half an hour of your final morning wake time. (healthcentral.com)
Teaching healthy sleep habits can successfully improve early morning wake times, middle of the night wakings, sleeping through the night, short naps, nap transitions, getting out of bed, crib to bed transition, bedtime battles, and many more. (sleepyheadsolutions.com)