No.
Private sellers who are only selling their own unwanted items and are not trading may have an Ebay shop if they choose to.
Details of who should have a business account and how to proceed are here:
https://www.ebay.co.uk/sellercentre/selling/create-ebay-business-account
You are selling multiples of brand new items so you need to have a business account.
You will have to pay fees to Ebay on your sales and need to accept returns for any reason.
"There are two ways to be fooled. One is to believe what isn't true; the other is to refuse to believe what is true.”
Søren Kierkegaard, Danish philosopher (1813 - 1855)
