Yes. Below is a list of early settlers written accounts.
Archer, Gabriel. Relatyon of the Discovery of Our River. The Jamestown Voyages Under the First Charter, ed. Philip L. Barbour. 2nd series, 136:80-98. (Written in 1607.)
Argall, Samuel. A Letter of Sameul Argall touching his voyage to Virginia, and Actions there: Written to Master Nicholas Hawes. In Hakluytus Posthumus or Purchas His Pilgrimes, ed. Samuel Purchas. Glasgow: James MacLehose and Son, 1904-1906.
Barbour, Philip, ed. The Complete Works of Captain John Smith. 3 vols. University of North Carolina Press.
Percy, George. Observations gathered out of A Discourse of the Plantation of the Southerne Colonie in Virginia by the English, 1606. Captain John Smith Works, ed., Edward Arber. Archibald Constable and Co., 1895.
A Trewe Relacyon, Virginia from 1609-1612. Tylers Quarterly Historical and Geneaological Magazine, 3:259-282, 1910. (Written in 1612.)
Strachey, William. The Historie of Travell Into Virginia Britania. Edited by Louis B. Wright and Virginia Freund. Hakluyt Society, 1953. (Written in 1612.)
A True Reportory of the Wreck and Redemption of Sir Thomas Gates. A Voyage to Virginia in 1609, Two Narratives, ed. Louis B. Wright. University Press of Virginia, 1964. (Written in 1610.)