Whether an EEA National can claim HB or not will, in part, depend on the situation they are in. They will need to have a right to reside to claim and this can be explored using the links below.
Click on the links below for more information.
What are the qualifying rules for PR?
Work needs to be Genuine and Effective
When still classed as a worker
Workers and illness/incapacity
Three month rules apply
Understanding the various rules that apply
Parents/Carers getting a right to reside status
Rules for EEA Students claiming HB
What is required to claim self-sufficiency?