Not only is it possible but the worst heat waves on record were experienced in the 1930s: https://www.weather.gov/arx/heat_jul36
The argument for climate change is: "humans are polluting the planet and it's causing a change in the environment and will have a disastrous effect on the climate." The arguments I hear against climate change always seem to concede that humans are polluting the planet, but argue in different ways (natural cycle/not really happening/etc.) that this pollution has no effect.
Even if this were true, why would it be a bad idea to reduce the level of pollution in the environment ? We know we're screwing up, why don't we do our best to clean it and make it usable for the next generations ?