Jochmus first went to Paris to study military science and went to Greece in 1827, at the age of 19, where he took part in the Greek struggle for liberation as an aide-de-camp to General Richard Church.
Angered by National Party intrigues, he went to England in 1835, from where he went to Spain with the British-Spanish Foreign Legion.
He then served as chief of staff of the combined Turkish-British-Austrian armies fighting the insurgent Muhammad Ali Pasha of Egypt in the capture of St Jean d'Acre in November 1840.
After the Archduke's resignation and the dissolution of the Reich Ministry in December 1849, Jochmus withdrew into private life.
Eventually he settled in Austria, where his son Carlos (1842–1914) attended the cadet school in Hainburg and the Theresian Military Academy.