lord of the rings - How did Legolas and Aragorn first meet?

No, there isn't.

In fact, there's no indication in the text that they have met before the Council of Elrond, although it does seem likely; Aragorn delivers Gollum to Mirkwood before the events of The Lord of the Rings:

Gollum, however, was before long captured by Aragorn, and taken to Northern Mirkwood

^{Unfinished Tales Part III: "The Third Age" Chapter IV "The Hunt for the Ring"}

That's the first time we know of where it's likely they could have met, but there's no indication that they did.