Nope. Interest, ownership and shares are three separate and distinct concepts.
1. You can have a vested interest in a business' activities even if you have no ownership.
2. You will own 100% of the LLC that you form, and it still won't have any stock for you have.
3. Shares require a valuation process to determine share value. Businesses with no stock therefore have no such process.
The federal government does not recognize an LLC. They consider it either a partnership or a sole proprietorship. Either way, the interest of all parties must be specified. If an LLC is used as a startup entity it will issue shares in anticipation of converting to a corporation. It’s clear you’ve never owned a business.