I think the realistic answer is 'no'. There are dozens of hybrids and cultivars of lavender and you'd need to be a complete lavender expert to distinguish them. As well as much clearer, closer shots of the flowers and leaves, the smell, season of flower etc. are important for id,

A 4 y.o. plant in zone 5 is very likely going to be a cultivar of Lavandula angustifolia or what is commonly known as "English" lavender, as that is arguably the hardiest form. But as floral notes, there are dozens of varieties so narrowing it down more than that is just guess work :-))