Looked for origin at surnamedb.com . They don't have it. Did not find it at Ancestry.
Looked up Hunkin surname at familysearch.org between 1500 and 1600 AD. Only found it in England. Did not check for any spelling variations.
Thomas Hunkin
England Births and Christenings, 1538-1975
christening: 31 October 1563 LANHYDROCK, CORNWALL, ENGLAND
John Hunkin
Father
England Births and Christenings, 1538-1975
child: Joane Hunkin
Thomas Hunkin
Father
England Births and Christenings, 1538-1975
spouse: Lovedy
child: John Hunkin
Thomas Hunkin
Father
England Births and Christenings, 1538-1975
spouse: Lowdy
child: Honour Hunkin
John Hunkin
Father
England Births and Christenings, 1538-1975
child: Joane Hunkin
Richard Hunkin
England Marriages, 1538–1973
marriage: 9 September 1590 Antony, Cornwall, England
spouse: Jone Saunders
Thomas Hunkin
England Marriages, 1538–1973
marriage: 22 November 1614 Antony, Cornwall, England
spouse: Mary Rundle
Jone Hunkin
England Marriages, 1538–1973
marriage: 6 February 1613 Antony, Cornwall, England
spouse: Walter Luskey
Walter Hunkin
England Marriages, 1538–1973
marriage: 27 November 1575 Antony, Cornwall, England
spouse: Wayne
Grace Hunkin
England Marriages, 1538–1973
marriage: 22 November 1590 Antony, Cornwall, England
spouse: John Hankin
Edward Hunkin
England Marriages, 1538–1973
marriage: 26 June 1593 Antony, Cornwall, England
spouse: Margery Michell
John Hunkin
England Deaths and Burials, 1538-1991
burial: 23 October 1636 St. Dunstan, Stepney, Middlesex, England
Elizabeth Hunkin
England Deaths and Burials, 1538-1991
burial: 10 June 1653 Billesdon, Leicester, England
father: William
Jonathan Hunkin
England, Devon, Parish Registers, 1538-1912
burial: 1658 Devon