Exists: power to outlet1 to outlet2 to switch - can't change wiring, would like switch to control only outlet #2
Connect the white wire between outlet #1 to #2 to the neutral screw on outlet #2. (Do not break the tab on the neutral side.)
Break the tab on the hot side of outlet #2. 
Use a wirenut and a short piece of black wire to connect the two black wires for outlet #2 to one hot screw on outlet #2. This will be your unswitched outlet.
Connect the white wire to the other hot screw. This will be your switched outlet. Wrap some electrical tape around the ends of the white wire from the switch. This is an indicator to future people that the wire is a switched hot, and not a neutral. 




Note:


If this is new construction or a permitted remodel where you have removed the drywall (and you therefore have to meet the newer electrical code),
Or you want to install a smart switch that requires a neutral wire...


...then you will have to replace the cable between outlet #2 and the switch with some /3 cable. In that case, you would use the red wire between the switch and the outlet, and instead connect the white wire to the neutral side of outlet #2, and leave the white wire unconnected in the switch box (or connected to you smart switch).