No. It is not possible.
First of all you schedule your "backup" nightly, so when you decide to swap
them, it is not the same time as you "left off your C drive".
Secondly, your D drive must be invisible to OS when C drive is active, yet
be able to start normally when swapped. The only way to achieve that is to
have it powered down except backup. Unless you put a programmable switch on
D drive power line, I do not see how can one achieve that.