Nah, not true.

Sure, nicotine is only part of cigarette smoke, and likely not the most dangerous. But nicotine raises blood pressure, and slows wound healing. Former can cause heart attacks, or any of the other health problems high blood pressure causes, while latter can lead to infections or neuropathy (generally, not causing them, but worsening them, if you have diabetes or the like).

This is because nicotine a vasoconstrictor. It causes your blood vessels to contract. This can actually be a good thing in some circumstances: if your lost a lot of blood, or have dangerously low blood pressure for some reason. But with the prevalence of high blood pressure in the population, its definitely more dangerous than anything else for the average person.