Can constructor throw an exception?

Yes, constructors can throw an exception. However, please note that, if a superclass constructor throws a checked exception, then if any subclass constructor calls that superclass constructor must throw the same exception, or a broader exception.

yes if super class is throwung Exception then sub class will throw Throwable

How can that be if constructors are not inheritable?

yes,if exception related statements are there in constructor then it automatically throws an exception,if that is un-checked.