Dear Azril Ismail,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the series Logbooks of U.S. Navy Ships, ca. 1801 - 1940 in the Records of the Bureau of Naval Personnel (Record Group 24). They include logbooks of the USS Constellation for 27 October 1840 to 14 March 1842. We also located a series titled Records Relating to Enlisted Men Who Served in the Navy Between 1842 and 1885. These records are in the custody of the National Archives at Washington, DC (RDT1). For access to and/or copies of logbooks and muster rolls, please contact RDT1 via email at firstname.lastname@example.org.
We hope this information is helpful. Best of luck with your family search!