Plus she got all those people from the different eras in the end. There, Zapar, is how she got hold of some dreamstone. She was probably professionally interested in the qualities of dreamstone, and would have wanted to research it herself. So she took the trip via gate.
No evidence, and don't make it fact without backing up your claim.
For all we know, Lucca kept working on robots, as seen with the little robo when Lucca finds Kid. Lucca herself worked with Luccia for some time, and most likely started her work after the Orphanage was established.
Plus, do you really think Lucca would have time to find all he ancestors and then get dreamstone..... Hello, only the chief of Ioka can have dreamstone, and Ayla gave her piece away. It's not just lying around everywhere >.>