Is there a catalyst that will reduce an alcohol to an alkane?
Here is a method for converting secondary and tertiary alcohols into the corresponding alkane using $\ce{InCl3}$ as a catalyst.  Chlorodiphenylsilane is the only reagent used in addition to the catalyst. The method works in the presence of common functional groups leaving them untouched.



Since primary alcohols are unreactive, this reaction can be used to selectively reduce secondary and tertiary alcohols in their presence.  An abstract showing a number of examples of the reaction can be found here.