Can a pedigree trace autosomal recessive or autosomal dominant diseases?

Family tree. If you have enough information, a well filled out family tree can sometimes reveal patterns of inheritance. This includes autosomal recessive /dominant or x linked forms of inheritance.
Sort of. Animals that are "bred" have pedigrees -- whether the term "family history" is more appropriate for people is one question. You'll see these all the time in genetics journals. Best wishes.