Yes. Ownership and directorship are different things. What matters for applying is that you are a director with authority to commit the company — you do not have to be a shareholder to apply on the company's behalf, though the company should be behind the decision.
Authority, not ownership
A director can bind the company in the ordinary course of business, and borrowing for a genuine business purpose is part of that. Being a non-owning director does not exclude you — the test is your authority to sign, covered in who at my company can sign off a credicorp application.
Where there are other directors or owners, it is sensible — sometimes necessary — that they support the borrowing. See whether all directors need to approve the application and can a co director apply with me.
The company borrows, not you
Because the loan is to the company with no personal guarantee, you are not taking on a personal debt by signing as a director — why we do not take a personal guarantee. Make sure your directorship is properly recorded at Companies House — why we check Companies House.
If you have the authority, apply for the company.
We lend only to UK limited companies and LLPs, the loan is to the company with no director personal guarantee, and this is business finance outside the consumer-credit regime — as an exempt lender under Article 60B of the Regulated Activities Order we sit outside FCA consumer-credit regulation, so the Financial Ombudsman Service and FSCS do not apply.
See also: Who at my company can sign off a credicorp application, Whether all directors need to approve the application, Why we do not take a personal guarantee?.