Date-Day- Time based gif picture is possible?

I have a strange question( at least it is so for me for now).

Is there any way to create a gif or jpeg or any other picture format which may also include a kind of script in it. With help of this script, some colors, some part of layers' color, or totally picture color or shape of the some certain layers can change at a certain set date, time, day? For example a picture with red-white color becomes red-yellow color on every sunday, or at 00:00 everyday or every year only one day?

I hope my question is clear.

Thank you

enginozayyildiz@gmail.com