Joachim was educated at home and then in 1892 and 1893 attended Otago Girls' High School.
[3] In 1903, Joachim travelled to London to learn book-binding, tooling and gilding from leading craftspeople of the time, Francis Sangorski and George Sutcliffe.
[1][4][2] In 1908, Joachim and her aunt Fanny Wimperis unsuccessfully attempted to establish a retail business in Dunedin for Liberty's of London.
[3] During her lifetime, Joachim donated ceramics to the Dunedin Public Art Gallery and embroidery by William Morris to the Otago Museum.
[3] Examples of Joachim's work are held by the Dunedin Public Library, the Theomin Gallery at the historic home Olveston and the Hocken Collections.