Is it possible to get a yeast infection while using the pulling-out method?

Yes: Pulling out (often caused coitus interruptus) has no influence on whether or not you get a yeast infection. Yeast infections are often related to recent use of antibiotics, hot environments, or hormones (like taking a birth control pill). And pulling out is really not a very safe method of avoiding pregnancy, because small amounts of sperm can leak out before ejaculation ("coming").