i think it depends on the what texture pack you get for it
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You can if you use mods or server texturepacks
You download a texture pack, drag it into your texture pack folder, and then select it through Minecraft.
When you downloaded the texture pack, it should be in a zip file. You have to put the .zip file into the %appdata%>.minecraft>texture packs if you are a mac user: Your Mac id>Library>application support>minecraft>texture packs. Do not use the Library in the macintosh HD Drive. Then you open up minecraft, then you go into texture packs and mods. Then choose the texture pack, then say ok, then play minecraft :)
Simply download the texture pack and place the zip file in the texturepacks folder in the .minecraft directory
For HD texture packs (over 16x16 in resolution), you have to use either MCPatcher or OptiFine in order for the textures to work and animate correctly.