Is it normal for a 11 week old baby to cry almost the whole day ?

It could be colic if a baby cry a whole day or for prolong period of time. No specific reason but majority of the baby that's just few days/week old will have colic. Since it is a totally different "world" hence, baby is adapting to noises, sound, atmosphere. You may try to swaddle baby, lullaby or massage baby to keep them comfy. Hopefully it works.