You can, and it teaches you how to craft stuff on crafting tables and making simple weapons.If you want to whole version on the computer, its $26.95. When you do get the full version, make sure on your first night your not outside. I learned that the hard way. XD I would know because I am a Minecraft Gamer Girl. ;)
To be able to craft in Minecraft Pocket Edition, you need to get a space. Select the blocks that you want and place them where you need them. These blocks can be found under crafts on the drop-down menu of the game. See a tutorial on http://www.youtube.com/watch?v=lQSvh7rFIm8.