I cannot tell for sure from the picture. Maybe you could send in a sample of the plant to UD Cooperative Extension, either to me at the address below, or you could take a sample in to your local County Extension Office on County Seat Hwy in Georgetown, Delaware. It looks a bit like a honeysuckle of some sort. If there are any flowers or fruits, that would help us identify it.
Thank you for contacting Delaware Cooperative Extension,