Yes, but no.
Automation could, should and will bring back more manufacturing towards the west, in the sense that the west will produce more goods, in terms of net quantity/value compared to today.
It does not necessarily mean more jobs.
It does not mean the west will produce a higher percentage of global products.
Paul Krugman, amongst others, has written about the subject, I will try to link articles once I get home.
Quick edit: example: GM produces more cars than before the crisis but employs less people
Edit 2: here's one https://www.scientificamerican.com/article/krugman-trade-job...