Born in Prosperity, South Carolina, Wyche received a Bachelor of Science degree from The Citadel in 1906 and attended Georgetown Law, but read law to enter the Bar in 1909.

He was a special judge of the Circuit Court of Cherokee County, South Carolina in 1924.

He was a special associate justice of the Supreme Court of South Carolina in 1929.

From 1933 to 1937 he was the United States Attorney for the Western District of South Carolina.

[1] Wyche was nominated by President Franklin D. Roosevelt on January 11, 1937, to a seat on the United States District Court for the Western District of South Carolina vacated by Judge Henry H. Watkins.