Yes. Most diamonds' "certificate" will be engraved on the diamond itself, so any jeweler can inspect it.
Not all diamonds come with certification of authenticity.
any gemological lab in any country can validate real diamonds or gemstones and their authenticity
Laboratories that evaluate the quality of diamonds issue certificates. As well, a diamond may come with a Kimberly Certificate, certifying that the diamond is not a blood diamond. If you have a different type of certificate, your local jeweler can help you understand its purpose and authenticity.
Diamonds on the Inside - 2012 is rated/received certificates of: Australia:PG
Women and Diamonds - 1924 is rated/received certificates of: UK:U
Diamonds and Dimples - 1918 is rated/received certificates of: UK:U
Say It with Diamonds - 1935 is rated/received certificates of: UK:A
Rough Diamonds - 1995 is rated/received certificates of: UK:PG
Dateline Diamonds - 1965 is rated/received certificates of: UK:U
The Knave of Diamonds - 1921 is rated/received certificates of: UK:A
Jack of Diamonds - 2001 is rated/received certificates of: Netherlands:16
Diamonds - 2009 TV is rated/received certificates of: Netherlands:16