You can install GHC without administrator privileges, but you will have to build from the source. See Building on MacOS X for details.
In fact, like any other open source project, you can compile the code and install it, as a rule, anywhere in your file system, for example, in a folder in your home folder (I often use the ~ / .local folder for this goals).
As the linked page is mentioned, you can also use MacPorts and install it in any place where you can write. After installing MacPorts, you can install GHC.
EDIT
As pointed out by Karl in the comments below, you do not need to build from the source. Just take the binary archive from http://www.haskell.org/ghc/download_ghc_7_4_1#binaries .
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