No, the only son we know of is Adam born 1732 who married Elizabeth Graham. The IGI has marriage as 1791 Ballymena, Antrim.
There is an Adam Dickey Esq. Hollybrook Randalstown, ANTRIM - listed under Nobility, Gentry and Clergy in Slater’s 1846 Directory.
The eldest son of Adam and Janet was John Dickie, of Ballydonnellan and Cullybackey, which he purchased to carry out the linen trade in the most extensive manner then known; and by him, at Lowpark of Cullybackey, were erected the first bleach mills on the river Maine. John’s eldest son, by his first wife Martha, daughter of J. Hill, of the Hills of county Antrim, also Scottish, was the late Adam Dickey, Esq. Of Cullybackey, who died in 1827 at 95, and who by his wife Elizabeth, daughter of the late David Graham, of an ancient Scottish family, whose ancestor married a daughter of the Colville family, afterwards of Galgorm and Newtownards.