Moles wouldn't "pop", at least not like a pimple. If you tried, it would likely bleed. Do you know how to determine if it's a mole that should be checked for cancer? https://www.medhelp.org/cancer/slideshows/Get-Skin-Cancer-Savvy/205
A cyst is usually under the skin, and popping them would be difficult. You might be able to cause one to rupture, but if you have cysts, you should get your doctor to check those out and not try to pop or rupture them.