This is a RAW question.
Animal Companions gain an ability point at level 4. By advancing Intelligence to 3, the Animal Companion gains access to most feats. ("Animal companions with an Intelligence of 3 or higher can select any feat they are physically capable of using. GMs might expand this list to include feats from other sources.")
By 8th level, the Animal Companion will have gained 2 additional feats (since 4th level). Can the Animal Companion take Nature Soul and Animal Ally, thus gaining an animal companion of it's own?