Not really. Even if you don’t use paid advertising for your products, you will still need some money to purchase a domain name or set up your online store, among others.
If you are serious about becoming an entrepreneur and building a scalable business, you can't achieve that without a minimum investment.
Keep in mind: You will need to invest some money to make money, and this applies to any type of business.
Here's more on the true cost of dropshipping