Depending on the type of collaboration you have with an influencer, you can either just send samples or samples and payment, or a mixture of both. Some influencers are more open to nonpayments, but some will only accept paid collaborations.
If you are open to both approaches, it’s best to keep your outreach email open for the influencers to let you know whether they have a media kit or not.
Blogpost: Influencer Payment vs. Product