No, one of the lav or shower dry vents would need to be 2". Because by connecting the lav/shower to the WC fixture drain before it reaches the stack that could dry vent it, you now need to wet vent the WC via that lav or shower. And a WC needs a 2" dry vent.
If you make that change, the layout is OK assuming the distance limits are met. 2" shower trap arm (trap to vent takeoff) needs to be no more than 60" in length and 2" in fall (if the segment from shower trap to shower/lav combo meets those limits, you could delete the shower dry vent and let the lav wet vent the shower). And 72" maximum from closet flange along the pipe to the vent takeoff, which is the 3x3x2 combo in the wet venting scenario.
Cheers, Wayne