No, Soco can't request product samples for you. The seller controls samples, so you arrange one directly with them through TikTok Shop.
Why this stays between you and the seller
Soco finds you higher-commission links and shows you what's trending, by sales and by views. It doesn't manage communication or agreements between creators and sellers, so sample requests go to the seller, not to Soco.
Next steps
More on what Soco does and doesn't do: