My notary refuses to establish the act for which I requested him, because I have not transferred the advanced costs, he asked me to the office account. Does he have the right?

Yes, because the National Notarial Regulations (article 9-1) expressly forbids him from receiving an act without having provisioned a sufficient amount, to cover the expenses, rights, emoluments and fees.

The notary cannot consent to his client in advance, through any form or capacity.