Yes but all of your aliases would be under the same domain so one could surmise that the same person uses the domain.
You can usually setup several domains. Some domains are very cheap to register, so you can register some inconspicuous, universal, email provider-sounding domain and add aliases at will.
You can usually setup several domains. Some domains are very cheap to register, so you can register some inconspicuous, universal, email provider-sounding domain and add aliases at will.