Yes, because it is not taken internally, but it will definitely not be as significant, and has a risk of aggravating an infection if it has become contaminated from previous use, instead of individual an antibiotic. Better to clean whatever you're treating beside mild soap and water, then dry it stale, and of course you would not use the cream at all consequently, plus be prudent with the soap if your situation is an open, "exposed" wound or injury.
You can use it however it may not be as impressive. Also, it would depend on how long ago it expired. Was it last week or last year? Last week; no problem. Last year; receive some new Neosporin.