No. The Jamestown Colony in Virginia had socialism when founded in 1607 and abandoned the system in 1611 after this system was a major contributor to “The Great Starving Time” during the winter of 1610. That winter led to the deaths of 2 out of every 3 colonists at Jamestown.
A “The Great Starving Time” is common in the early years of most colonies during the winter when nutrition becomes poor, lacking vitamins in the diet.