Which plumbing code applies to you? There are at least 5 different codes in the US, probably a few more.
It is allowed by the IPC, although the 2x1.5x1.5 san-tee on its side you show needs to be a combo. The total fall from the far trap to the stack would need to be at most 1.5", so that trap arm could be at most 6' in length if you achieve the perfect minimum 1/4" per foot fall.
It is not allowed by the UPC. For the UPC you could stack two san-tees at the stack, with the upper san-tee being 2x1.5x1.5 and the lower being 2x2x1.5. Then each lavatory could have a separate trap arm to one of the san-tees. However, the maximum trap arm length for a 1.5" trap is 42" under the UPC, so you might have a problem with the far lavatory. The trap arm length includes the pipe outside the wall, anything between the trap outlet and the san-tee.
Cheers, Wayne