"Could you lend me your pencil?"

Translation: 可以借我铅笔吗？

[PearlJangj]

Shouldn't the translation read, "你可以借给我你的铅笔吗?"

[KX3.]

No. Firstly it'd be more accurately “你可以把铅笔借给我吗？”，secondly it is not (so) idiomatic, hence even though it is a more literal translation the given sentence is preferable.

[PearlJangj]

你可以借给我你的铅笔吗？

[deactivated user]

That is something near what I expected to find.

[Slade366]

The current sentence has no mention of "your..."