Yes, it is possible. I have gone as far back as before Christ. Of course, that is with only a few lines.
The 17th century is the 1600s; 3 of the Mayflower passengers were my ancestors; all Mayflower passengers have their descendants and ancestors published.
Of the 14 families that settled Germanna, 3 of the families are known to be my ancestors. Some of their ancestors have been established back to the early 1400s by such greats as B. C. Holtzclau.
So, IF you can trace your ancestry to the 17th century, you will most likely find some of them in published genealogies going on back several centuries, even to Charlemagne (another of my ancestors).
So, start with: Mayflower Families Through Five Generations, Volume Nineteen, Thomas Rogers. Descendants of the Pilgrims Who Landed at Plymouth, Mass. December 1620. Originally compiled by Alice W. A. Westgate; Revised by. Reeves. Published by General Society of Mayflower Descendants 2000. Copyright 2000 by General Society of Mayflower Descendants, 4 Winslow Street, Plymouth, MA 02360. Edited by L. M. Kellogg and others. Includes bibliographical references and indexes.
Burke’s Landed Gentry, Burke’s Dormant & Peerage, Burke’s Peerage of American Presidents, Debrett’s Peerage, Oxford Histories, et al.
Lineage & Ancestry of HRH Prince Charles, Prince of Wales by Gerald Paget. Pub: Skilton, Edinburgh, 1977, Vol. I, p. 56.
Royalty for Commoners by Roderick W. Stuart, Pub: Genealogical Publishing Co., Baltimore, 1993, Subtitled: The Complete Known Lineage of John of Gaunt, son of Edward III, King of England, Philippa.. Reviewed in TAG, Apr 1994 by Dr. David H. Kelly. Note: Poor, p. 103.
Ancestral Roots of Certain American Colonists Who Came to America Before 1760 by Frederick Lewis Weis, Pub. 7th ed., Genealogical Publishing, Baltimore, 1992 or “Ancestral Roots of 60 Colonists Who Came to New England, 1623 - 1650, Ed. 1 - 6, J H Garner.
Ancestry of Richard Plantagenet and Cecily deNeville by Ernst Friedrich Kraentzler, 1978.
And other such books.