Thanks for joining the NUC community.
It appears to be a defective NUC and you may need to contact Intel for warranty options.
Before you contact Intel for warranty please test performing BIOS recovery, this is a simple process that may help even if there is no video at all
Instructions for BIOS recovery available below:
Intel® NUC Boards and Kits — BIOS Recovery Update Instructions
File name:
Also, please check some tips about this No boot issue: Intel® NUC — Troubleshooting no boot issues
Allan.