Your question is a good one, as there has been an incredible amount of false information that's been spread regarding the potential for people to develop a change in the color of their eyes (irises) as a consequence of using Latisse to stimulate eyelash growth.
To answer your question, no, if you have blue eyes, you do NOT have to worry about your eye color changing while using Latisse as directed (applying to your upper lash line every night).
To my knowledge, in the hundreds of thousands of patients being treated for glaucoma with the same active ingredient that is in Latisse (bimatoprost), only a handful of patients with hazel eyes had a darkening (turning more brown) of their eye color. Keep in mind, these patients were administering the medication directly into their eyes as eyedrops every night. The vast majority of glaucoma patients with hazel eyes that used the medication (bimatoprost) in the form of eyedrops did NOT notice any change in their eye color.
To date, there has not been one reported case of eye color change attributed to the use of Latisse (bimatoprost to the upper lash line to stimulate eyelash growth) in any patient in the US.
I hope this was helpful in answering your question.