I'd say they are different concepts but not too different to say "chalk and cheese".
A temp table is good for re-use or to perform multiple processing passes on a set of data.
A CTE can be used either to recurse or to simply improved readability.
And, like a view or inline table valued function can also be treated like a macro to be expanded in the main query
A temp table is another table with some rules around scope
I have stored procs where I use both (and table variables too)