https://www.arts-et-metiers.net/musee/metier-tisser-les-etof...
Nor is it first such device. Here is the nice image of barrel with pins that controls the 14th century machine organ:
https://www.pianola.org/history/history_mechanical.cfm
Again, while impact of Jacquard's loom was indisputably huge, ascribing origin of computers to it seems like calling Ford model T the origin of personal transportation.