No, what that person told you doesn't make sense at all if I understand acidophilus correctly. Acidophilus has nothing whatsoever to do with stinging sensations in your penis. That would be the equivalent of my telling you to buy tampons to cure the problem. It just doesn't make sense. The two aren't related. Acidophilus supplements are available for people who have already talked to their doctor and have a shortage of "good" bacteria in their gastrointestinal tract or vagina. Acidophilus supplements help to replace that good bacteria.
If you are having strange sensations anywhere in your body you should always talk to a doctor before trying to self-medicate. A lot of things are available over the counter, but that does not mean that everyone should be taking them.