Yes, you can do it with
Wally.
Download and install it. Start it and then open the wads in it. Then click file/new and choose half-life package from the drop-down menu and press OK. Now go to the wad you want to copy a texture from. Select a texture and right click on it and choose copy. Then select the new wad you created, right click over it, and select paste as new. Now you are prompted to name the texture and that's it. When you have all the textures in your wad select the your wad window and choose file/save as and save your wad.
edit: [sorcerer] was faster than I. Well, I hope both posts 'strenghten' each other. Tried to be as clear as possible.