Not given that the planet cooled for millions of years with significantly more CO2 than today. Or that the previous interglacial periods were 2C warmer than today with 120 ppm less atmospheric CO2 than today.
The more the planet warms the greater the loss of heat to space becomes. It's a natural compensation that exists. There's no chance the planet is warming up 5C in 77 years. That would be very close to melting all ice at both poles. It's like you people don't even check the geologic record. For this landmass distribution the sea level versus temperature and thresholds for glaciation at each pole are well established. You can literally read the threshold temperature for each pole from the oxygen isotope curve.