No. It is not a clever shortcut. If you feed a generator into a dryer outlet, you can energize the panel and the utility service drop whenever the main breaker is on, which can kill a line worker or a neighbor. You also have no listed transfer mechanism, no proper inlet, and a serious shock and fire hazard at the cord. Utilities and contractors treat this as both a safety failure and a permit failure.
This page is a safety answer, not a how-to. The legal and safe alternatives are a listed interlock kit or a listed transfer switch, with a generator inlet, installed and inspected. Those methods exist specifically so the generator and the utility cannot be connected at the same time.
Separately, the generator itself must sit outdoors, away from openings — see the CPSC placement page. Indoor operation can kill the household with carbon monoxide even if the electrical hookup were somehow “correct.”
This is not a permit calculation, a utility approval, or a substitute for a licensed electrician, HVAC contractor, or the authority having jurisdiction. Panel Headroom is an independent educational site. It is not a utility, a certification body, or a contractor. Electrical and generator work that is done incorrectly can cause fire, shock, or carbon monoxide poisoning. Use the adopted electrical code and manufacturer instructions; pull permits where required.