Yes, you can put the genitive part in front of the noun, however it then replaces the definite article. So it is
des Mannes Auto
and the article "des" belongs to "Mannes" while the whole part "des Mannes" determines "Auto".
In the same way
des Gottes Kirche.
Note that when referring to the Christian god in a ...
Yes, you can change that to
(Sie) töteten den Glanz der Sonne.
So "den Glanz" is the accusative object that is killed, and "der Sonne" is genitive referring to "Glanz".
It is a poetic form that would not be used in normal speech.