Yes.
The Bhagavad-gita, the principal scripture of the Hare Krishna
movement, and the roots of understanding reincarnation, states “As
the embodied soul continually passes, in this body, from boyhood to
youth to old age, the soul similarly passes into another body at
death. The self-realized soul is not bewildered by such a
change.”
The Vedas further explain that the soul in the material world
transmigrates within a cycle of material birth and death through
8,400,000 forms of life. The human form, however, is the only birth
which affords one the chance for spiritual realization. Species
lower than humans are not endowed with sufficient intelligence to
understand the soul as different from the body.