Is there a ritual free form of Buddhism? Is there, aside from Secular Buddhism, a sect or tradition of Buddhism that does not include rituals and chanting as a part of it's liturgy?
Yes. The "original tradition" i.e. of the time of the Buddha himself, did not have a lot of the rituals and customs that are practised today.

There was some recitation of the Dhamma and Vinaya, but it did not amount to liturgical chanting in the Buddha's time. Certainly, monks did not chant for blessing, in the Buddha's time. Recitation was just a form of recollection, as it was initially an oral tradition. Recitation of the Dhamma and Vinaya did not have mystical effects.

There were no statues or idols or images in the Buddha's time, and certainly no rituals were performed to those idols or images. There were stupas, as we could find in DN 16, but those were just memorials for inspiration and not for worship. In fact, the tradition of making Buddha images originated centuries after the Buddha, influenced by ancient Greek art.

There were no Buddhist temples in those times. Only monasteries and some stupas.

The Buddha strongly criticized astrology, palmistry, divination and such practices in DN 2.

Prayer beads or rosaries, mandalas, incense etc. all came much later and was not part of the original tradition.