It is possible, after all isn't it considered an accept fact that Thomas went to India? So if Thomas went to India, then certainly Jesus could have gone to India? There are indeed many parallels between Christianity and Dharmic religious philosophies and practices, which seem to arise from a vacuum and have no historical precedence in the Jewish religion - for example the doctrine of avatarism: Suprme God can incarnate on Earth by projecting a part of him in human form for the purpose of establishing righteous religion. No other religion other than Hindu Vishnavism had such a doctrine; the practice of meditation with a rosary while chanting the holy name is also a Vaishnava practice; contemplative meditation is also a Vaishnava practice.
There are also very clear similarities between the life story of Krishna and Jesus like Krishna was born of divine conception and the local tyrant king killed all the newborn in that time to find Krishna.
Vaishnavism is effectively a personality worshiping religion of Krishna that started centuries after Krishna supposed lifetime. Then later many stories, legends and accounts of Krishna were composed.
There are also clear similarities with Buddhism, like the doctrines of compassion, love and charity, missionary activity to spread the message, and the notion that Jesus went to the wilderness for 40 days and 40 nights where he was tempted by Satan and he came back enlightened and started giving sermons, while Buddha mediated under the Bodhi tree for 40 days and 40 nights and came back enlightened and started giving sermons.
The similarities between Krishna and Buddha and Jesus are kind of too strong to ignore. They strongly raise the possibility of there being some kind of cultural intercourse between India and Jesus. This does not necessarily mean Jesus traveled to India, but Hindus and Buddhists may have been present in Jerusalem, and he may have assimilated many of his ideas from there or his later followers may have assimilated those ideas. The fact that the areas near Jesus's home town were Gnostic, suggests Gnostic religion must have been present prior in the region of Jerusalem and influenced later Christianity.