Is it possible to overfit on data when reverse engineering a formula?

I am working on a project where I am trying to reverse-engineer the formula that a company is using to price its product. The product is relatively homogenous and has a few defining well-known features that affect its price. I find that ramping up the number of hidden layers is providing far superior results. I understand that in most cases this could cause overfitting. Given that I am reverse engineering a set formula, is overfitting actually possible?