Yes, in some categories, it can make sense to use advertising to generate customer leads.
This is when the ad has encouraged and enabled the viewer to leave their name and contact details for you to contact them directly. These are called Lead Generation ads, which you can dictate on the Ad Manager pages. For example, this is common practice amongst dentists who want to find patients who need, say, teeth whitening services.
Remember that this may not be relevant to your category. For example, it would not make sense to ask for customers to leave their details if you are just selling drinks.