LWJGL is a graphics library with some additional minor utilities. This isn't a graphics issue, so the majority of LWJGL is meaningless to your question. Additionally, if you don't want to use it's keyboard or mouse input, then there is literally no aspect of the library that you need to make that form of input work.
Basically, it's all up to you. That's a good thing, though.
I will admit however: what are you planning on doing where your input doesn't require a mouse or keyboard? How else are you giving instructions to your game?