That it can. Throw in the variations in the center cross member itself and it further complicates the task.
Note on the earliest version of the three I've shown (the one with the integral pedal bracket) that there is no provision in either the cross member or the braces for the engine steady rod positions inboard characteristic of the vast majority of '32 (and later) V8 engines, namely those with the attachment of the rods directly to the cast-in holes in the engine block bell housing.
In this instance, like all of the earliest V8s, the fours and V8s shared the same outboard attachment of the rods to the center cross member with separate forged brackets that attached to the bell housing. Even then, that is not the earliest of the variations in center cross members. On the first center cross member which had no braces whatsoever, the steady rods do not pass through the center cross member, but rather attach to the front of the cross member with a vertical orientation to the two attaching bolts (as shown in the photo below) compared to the horizontal orientation of the bolts of all rods that followed for the balance of '32 production. (Actually, that shown in the photo is not the first, as the holes for the brace are already in place.) Woe unto you if you need and are missing any of those components.