Nah, Monkeypox and HIV both have so many similarities because they both manifest when the immune system is compromised. If anything Monkeypox is proving Kari Mullis correct. Beat down the immune system long enough with drugs, or poor diet, or too many vaccines, and now the body is susceptible to things it would normally have been able to fight.
What has been 'engineered' are the mechanisms to purposely compromise the immune system.