No, some did have draw lot series numbers & part numbers. The only part with a serial number is the heel of the receiver.
Your M-1 Garand rifle was made by Springfield armory in the year 1955 with the serial number that you provided.
According to Fulton Armory and a list of Garand Serial Numbers your Garand was manufactured in April of 1945http://www.fulton-armory.com/tea/m1serial.htm
Your springfield M-1 Garand was made at springfield armory in 1943.
Your Springfield armory made M-1 Garand with a serial number of 5,449,068 was produced in the year 1954.
Your springfield armory made M-1 Garand with serial number 5,843,454 was produced in the year 1955.
Your M-1 Garand was made at Springfield armory in 1955.
Your M-1 garand was made at Springfield armory in 1943.
your garand was made in 1944
your M1 garand was made in 1940
your M1 garand was made in 1945
your springfield m-1 garand was produced in 1944.
the M1 garand springfield #534068 was made about 1942