Fauci will already be retired by then. Is it possible to create one for a private citizen?
Isn't Trump technically a private citizen? If so, then the answer is "HELL YES!" to a special counsel for Fauci.
If they target Fauci's action while he was employed with the government, and if they don't subpoena private citizen Fauci or any other private citizen, then I would say the Constitution does support this.
However, Congress has been subpoenaing private citizens for a long time, for example private citizens recently subpoenaed for the J6 committee.