I've not heard that. Though it makes a certain amount of sense that while you're still developing and perhaps experiencing more partners (or maybe more sex) you might be more at risk for cervical cancer - but even young virgin nuns get cervical cancer ...
However, one of the best known causes of cervical cancer is the human papilloma virus. There are many strains of the virus and only a few are known to cause cervical cancer. If you're concerned about this important risk factor for cancer, have your gyno screen you for the high-risk strains (and your soon-to-be hubby).
There is a slightly lower risk of ovarian cancer for women who use birth control pills for more than five years, and a tubal ligation can reduce the risk of ovarian cancer more than threefold.
Barrier methods are really the best way to protect yourself from both disease and pregancy. A screening for hpv is probably in order anyway as you are starting a new life together and possibly a family. The best thing you can do for yourself is find a good doctor and get your screenings done faithfully - cervical cancer is easily detected and treated these days.
Take care.