You will have to remove comma and then use
DECLARE @Coordinates TABLE (Id INT, Coordinate VARCHAR(1000))
INSERT INTO @Coordinates
VALUES (1, '55.56556210072329, 9.755743105435158'),
(2, '55.53810346218259, 9.719881970906044')
SELECT CAST('POINT(' + REPLACE(Coordinate, ',', '') + ')' AS GEOGRAPHY) FROM @Coordinates
DECLARE @C1 GEOGRAPHY = (SELECT CAST('POINT(' + REPLACE(Coordinate, ',', '') + ')' AS GEOGRAPHY) FROM @Coordinates WHERE Id = 1)
DECLARE @C2 GEOGRAPHY = (SELECT CAST('POINT(' + REPLACE(Coordinate, ',', '') + ')' AS GEOGRAPHY) FROM @Coordinates WHERE Id = 2)
SELECT @C1.STDistance(@C2) / 1000