No, all of science is debatable. Even Newton and Einstein.
The ones insisting that science is "settled" and undebatable are the same old religious authority figures dressed in new clothes.
Newton is a good example. We know for a fact that his 'laws' (or more accurately, models) of motion are wrong. We've known that for a very long time (that is why relativity was needed, Newton's model, for example, failed to predict the orbits of the planets accurately).
Now suppose you are building a bridge. It needs to withstand certain strains. Plugging the details of your plans into Newton's models shows that it will not withstand them. Claiming that since Newton's models are wrong, you can safely ignore this result and build your bridge anyway, is clearly nonsense.
The reason it is nonsense is because the limitations (or inaccuracies) of Newton's models are irrelevant to its application in this scenario. To wave away Newton, in this instance, you'd need to present extremely compelling evidence that we've been wrong these past 300 years in believing Newton's laws held any value at 'human' scale.
This would be an extraordinary claim, requiring extraordinary proof. Given how unlikely that is, we say that Newton is 'settled'. In that we know the limits of his models and have a mountain of evidence to back them up where we believe they do apply. You can't just point at the known limitations of his models and in a handwavy manner extrapolate that since his models aren't perfect, they are useless. You must provide extraordinary proof they Newton's models are wrong.
So lets move over to climate science.
Its a younger field, but it does rely on a number of fairly simple and testable models. Including that carbon dioxide (CO2) traps heat in the atmosphere. This can be easily tested (and has been repeatedly). Claiming that this is false, requires extraordinary proof and this can generally be considered settled.
The claim that us humans are releasing immense amounts of CO2 into the atmosphere and have been doing so to an ever greater degree for over 200 years is also easily proven and can be viewed as 'settled'. That is to say, you'd need extraordinary proof to claim otherwise.
There is a mountain of these small, 'settled' issues that, when taken together, lead to a fairly unassailable (barring extraordinary evidence to the countrary) conclusion; We are having an effect on the global climate.
The exact effects are what is left for (real) scientific debate. But even there we know that the overall temperature of the planet will rise by some amount due to the presence of more CO2 in the atmosphere (claiming otherwise requires, again, extraordinary proof, although the exact amount of heating is still subject to some debate).
TL;DR Climate science is far from settled. However, the fact that we are having an impact on the climate is settled and arguing otherwise requires extraordinary proof.