Translation:Don't tell anyone else.
No. For this verb and a number of others, whether or not we use "to" depends on whether the accusative object comes comes directly after the verb or not.
- Don't tell this story to anyone (else).
- Don't tell anyone (else) this story.
- Don't tell anyone (else).
Other similar verbs are "give", "throw", etc.
- Throw the ball to me.
- Throw me the ball.
But these verbs aren't identical in usage. We can say both "don't tell this story" and "don't tell anyone", but we can't say "throw me" on its own unless we want to go flying through the air.