The nectar of honeysuckle flowers is not poisonous. Honeysuckle (Lonicera spp.) are common across the United States. The two major classes of them include non-native Asian types and native North American varieties.ating a few honeysuckle berries will likely only result in a bit of stomach upset. If large quantities of potentially poisonous berries are ingested, you may experience nausea, vomiting, diarrhea and rapid heartbeat.