Yes, it is possible. The diet of chipmunks consists primarily of grains, nuts, berries, seeds, mushrooms, insects, and carrion. Although chipmunks are mostly ground-dwelling rodents, they regularly climb trees in the fall to gather nuts, fruits, and seeds. Chipmunks cache food in their burrows throughout the year. By storing and scattering seeds, they promote the growth of various plants.

Chipmunks also prey on young birds and bird eggs. If you feel chipmunks are taking eggs, the careful installation of exclusionary 1/4-inch hardware cloth around the henhouse will limit their access. It may also be necessary to reduce their numbers by trapping.

Resources: (online)
Chipmunks