New Living Translation
Yes, people sinned even before the law was given. But it was not counted as sin because there was not yet any law to break.

American Standard Version
for until the law sin was in the world; but sin is not imputed when there is no law.

Berean Study Bible
For sin was in the world before the law was given; but sin is not taken into account when there is no law.

Douay-Rheims Bible
For until the law sin was in the world; but sin was not imputed, when the law was not.

English Revised Version
for until the law sin was in the world: but sin is not imputed when there is no law.

King James Bible
(For until the law sin was in the world: but sin is not imputed when there is no law.

World English Bible
For until the law, sin was in the world; but sin is not charged when there is no law.

Young's Literal Translation
for till law sin was in the world: and sin is not reckoned when there is not law;

Romans 5:13 Additional Translations ...