pragmatically
Pragmatically means in a practical way. When you say that something is pragmatically impossible, you mean that it's not possible in a way that is practical or realistic.
The project is technically possible, but it's pragmatically impossible because it would require a lot of money and resources that the company doesn't have.
The proposal is technically possible, but it's pragmatically impossible because it would require a lot of time and effort that the company doesn't have.