Pyke was educated at Rochester Cathedral Grammar School and at the University of London, where he earned the degrees of LLB and BA He entered as a student of the Inner Temple on 3 November 1874, and was called to the bar on 13 June 1877.
His most extensive practise was in the Admiralty Court; he became Queen's Counsel in February 1892, and immediately attained a leading position in the Admiralty Court; he became the leader of that branch of the bar designated as the Probate, Divorce, and Admiralty division on the elevation of Sir W. Phillimore to the bench.
In 1895, Pyke unsuccessfully ran for the House of Commons in the Wilton division, Wiltshire, as a Liberal Party candidate.
As noted, Pyke's father was the warden of the Central Synagogue, London.
In 1880, Pyke became a member of the council of the Anglo-Jewish Association, and served on the executive committee from 1882 until his death.