CV/CC with a single LM317?
It is going to end up more complex than the circuit using two LM317- so the question might be more why you would use this circuit. 

The LM317 has a lot of (minimum) voltage drop (3V minimum recommended) and two of them in series have twice that, so a lot of power will be wasted in the regulators. A sense resistor of 0.1 ohm will drop only 100mV at 1A.

You also need a negative supply voltage to turn the LM317 off but that may be necessary anyway if you’re making a “lab supply” that can be set to less than 1.25V.