The same CCP can be arrived at by many different combinations of CR & IVC, like late IC + high CR or early IC + low CR may produce the same CCP at cranking speed.
The cylinder combustion pressure of the low CR will rise immediately but not that much, the high CR will take longer (delayed VE and torque curve) but get much higher.
Two engines with the same CCP, produced the same way, may not have the same knock sensitivity.

Things to avoid: using the wrong cam (not the optimum choice for best power characteristics) to change cranking pressure.

Overlap has nothing to do with CCP, but it definitely affects knock sensitivity by retaining exhaust gas in the chamber.