So I have had this aloe plant for three years and she has been doing fairly well, producing plenty of pups (the ones in the pot have grown since I separated 7 from her 4 months ago) but I have noticed that her leaves are growing on top of each other instead of fanning out. Should I be worried or is there something that I can do to help her? Thanks in advance!
The light question by Bamboo above is an important one. If this is in fact Aloe vera, it looks starved for light. Unless it is in front of a south-facing window it's probably not getting enough light for the typical compact growth habit.
Has this plant been fertilized? excessive fertilizer will also cause abnormal growth. Looking at the plant, it appears it may have been fertilized relatively recently. Note short leaves lower on the plant, longer leaves near the top.
So, to address your specific question; your plant is not exhibiting typical Aloe vera growth. To improve the compactness of the plant it needs more light. If you are fertilizing you should cut back until you are able to provide better light.