I won't trust the way P1 is connected. If the wiper gets lose the feedback loop will be open, and the MC34063 will ramp up the voltage to very high values. Until something gives in. Maybe the FET, maybe the MC34063, maybe the breadboard, worst case maybe the user coming close to the output.
This is one of those circuits where you better use the pot as an adjustable resistor (wiper terminal permanently connected to one of the other terminals), instead of a resistive divider. And put the adjustable resistor on the high side. Which means it should be an isolated one. That way, if the wiper becomes lose the pot doesn't open the feedback loop. Instead it goes to its maximum value. If on the high side of the feedback loop this will in turn drive the output voltage low.
You have the same risk with the breadboard. Breadboard connections are notoriously bad. If the feedback loop gets open because of a bad breadboard connection you can get very high output voltages. Further, breadboards aren't rated for such high voltages. Be prepared that the breadboard goes up in flames or other such nastinesses.
Regarding the test leads. Even the quality-brand, pre confectioned, 4 mm jack, 1 mm^2 test leads I have here are just rated for 60 V, 16 A. This is because of the single isolation and blank metal parts.
You should really look for a safer prototyping construction than you currently have. A breadboard and those test leads is not a good choice.