Hi Jfs,
To achieve the above i think you have to super the create function of the res.partner . After supering the create function you have to create a account from the code  for the partner and can assign the name of account as partners name.

Thank you

class ResPartner(models.Model):
    _inherit = 'res.partner'
    
    @api.model
    def create(self, vals):
        res= super(ResPartner, self).create(vals)
        #write the code for creating the account and assign to partner
        return res

Odoo does automatically create customer/vendor accounts in the accounts payables/receivables accounting when you create customers or vendors. This is common behaviour of accounts receivables/payables accounting applications and the purpose is to avoid creating separate general ledger accounts for each customer/vendor. I do not know any possible use case which would make such requirement meaningful (except of banking business, but then you need a banking software and not an ERP software like Odoo).

But if you have sound accounting knowledge  and you know the reason for your requirement, then Niyas answer will help you.