Yes, it's possible. To register your brand on Amazon, it needs to be a registered trademark. This is a time-consuming process – it can take up to a year for your trademark to be approved. We only recommend this route if you already have a registered trademark or if you're seriously interested in getting one.
If you already have a registered trademark brand, then apply to register it on Amazon. Once Amazon approves your brand, then fill out this form here and check that you have a registered brand or GTIN exemption.