Yes! At this time, TikTok, Apple Music and iTunes allow you to request a specific start time for audio previews.
For new releases, on the upload form you can select which portion of your track users hear when previewing your release. Simply select "When the good part starts" on the upload form to specify which part of the track you want available for previews.
If your release is already in stores, no worries! You can head to your album page, click on the "Edit Release" button, and then send a request to stores to specify which portion of that existing track needs to be included in the preview as well.