Technically yes, but in practice we would call you a founder on this situation.
In common parlance self-employed is something reserved to people who do free-lancing or have small bootstrapped business:
I have a personal list of criteria that I use to differentiate from the non-freelancing self-employed and the startup founder.
1 - No direct subordination relationship with a customer, you are a service provider, not a contractor.
2 - Focus is on revenues, profit and low debt, not growth above everything.
3 - No founding from venture capital investor. If you have a partner most probably she is also part of the operation, or expect to have a return on their investments from what the company sells, not by the company being sold.
4 - You draw a salary, if any, from the operation. There's no other source of money for you to survive other than your personal economies (see 2 and 3)
1 - No direct subordination relationship with a customer, you are a service provider, not a contractor.
2 - Focus is on revenues, profit and low debt, not growth above everything.
3 - No founding from venture capital investor. If you have a partner most probably she is also part of the operation, or expect to have a return on their investments from what the company sells, not by the company being sold.
4 - You draw a salary, if any, from the operation. There's no other source of money for you to survive other than your personal economies (see 2 and 3)