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
the M1 garand springfield #534068 was made about 1942
your springfield m-1 garand was produced in 1944.