Can I trade in my Surface Book 2-in-1 Laptop

Yes, you can try to trade in the Surface Book, but there is an important problem in your case.

Your machine appears to be a Surface Book (1st generation), 13.5-inch, Core i5-6300U, 8 GB RAM, 512 GB SSD. Because it does not power on, Microsoft's current trade-in requirements are a major obstacle: the device must power on, hold a charge, and be fully functional.

Microsoft Reference:

How to trade in a device

As the device is completely non-working — I would not expect Microsoft to offer a normal trade-in value. Their trade-in partner may reject it and either return it or recycle it.

Also, Microsoft's current online trade-in program is specifically described as being available through the Microsoft Store in the US/Canada, so availability depends on where you are purchasing from.

A Surface Book 1 does not have a conventional removable 2.5-inch hard drive. The SSD is soldered/otherwise integrated into the Surface Book's internal hardware, so replacing it is considerably more complicated than replacing a normal laptop drive.

However, a Surface Book that won't power on should not automatically be diagnosed as a bad SSD. A dead battery, charging/power circuitry, motherboard problem, or other hardware fault can also cause a no-power condition.

You may sell it privately or to a refurbisher, even though Microsoft's standard trade-in program may reject a non-working unit.