Yes and no... Are these "dual make SPST" relays? If so, as far as i'm aware, yes, but you won't need to join them back up to each under, like where you have indicated under the 'lights' text at the top of you diagram. Also if this is the case, you should have an 87 and an 87b, not 2x 87.
Otherwise if they are traditional SPDT relays, then you will have one pair on all the time without being switched on, and the other pair on when switched on with the first pair off.
See
the12volt.com for more info.