No. The first is a United States Note, 1953.
The second is a United States Note, 1963.
Both printed by the US Treasury, not the Fed.
If the 1963 Note resulted in JFK's death, why didn't the 1953 Note kill Eisenhower?
The different notes might well be printed by the same presses but they were printed for different intentions and different financial entities. The difference is very noticeable as to the different notations to the left of the portraits. I erred as to the date of the second note which you correctly noted. However my look see is still valid in that these notes are for different purposes. The USA is still printing Fed Reserve Notes as given on a 2009 $5 bill I am now looking at that specifically says Fed Reserve Note, not USA dollar. I believe the printing of USA Treasury dollars/notes stopped after Pres. Kennedy’s death.