Bearded Dragon not passing poop

My dragon hasn't pooped in a week. Is this normal?

Hello - that's a relatively long time, for a bearded dragon.  Some poo every day, some once or twice a week - and this is often connected with the volume of food they are consuming.  Seven days without a poo would concern me.  I am by no means a bearded dragon expert, but the most pivotal thing about looking after one has to be the husbandry - that a suitable tank, with a suitable temperature gradient and suitable diet, UV levels and humidity, are the absolute key to keeping these chappies in good condition.  When you visit about a bearded dragon, an experienced exotics vet will ask questions about all of these things, so it's a good idea to take along what information or temperature records you have (if you dont have any, obviously still go along! - and check the temperature of the tank in preparation if you have the means.  I don't know if you are Uk based, but it's cold here at the moment and maintaining the ambient temperature (in a way that doesn't damage your pet, of course) may be cricual - if a Dragon isn't at optimal temperature, they might well eat and poo less.  There is also a multitude of illnesses that can make a beardie eat and therefore deafecate less than usual, from mouth ulcers to metabolic disease.  So, in summary, seek out an appropriate vet, be ready to explain your beardie's housing situation to them (a picture's worth a thousand words) and some detective work may be required to get to the bottom of the situation - and the severity of it.  Asking questions about getting reliable husbandary information is always worthwhile.  Good, up to date advice is hard to come by and exotics vets often manage to surprise people who have successfully kept beardies for years.