Antonio Machado was born on July 26, 1875 and died on February 22, 1939. Antonio Machado would have been 63 years old at the time of death or 136 years old today.
I think it is the other way around. Bach transcribed/arranged a few of Vivaldi's concerti for the organ, so was familiar with Vivaldi's compositional style. I know of no evidence the other way around.