Of course we are in the realm of "alt history" so everything here is speculative and ahistorical by default. But it can still be fun!
That said, I don't know anything about Indian writing, and so my only evidence that I have to present that moveable type printing presses could not have been developed for the language is simply that if it could have been it would have been. They certainly had the technological capability to do it, but they didn't. I suspect that, just like other languages, there is something about the writing system that makes it much more difficult than it was for Latin derived languages.
Ironically, I would argue that it was technical limitations in the European scripts that allowed for the invention of the printing press. While cultures across the Arabic world were going wild experimenting with all forms of artistic calligraphy, the Europeans were basically stuck with simple block letters originally designed for chisels.