Is it permissible for an accountant in an information technology company to carry out financial procedures for a service forbidden by Sharia (name compatibility), if he is the only accountant and his refusal to do so will lead to him losing his job?

This service related to names is a type of sorcery and superstition, not sanctioned by Islamic law or reason. If your work in this company is inseparable from handling the financial procedures for this service, then it is not permissible for you to remain there, as it involves cooperation in sin and aggression, unless you are genuinely compelled to this work by necessity.