No, almost certainly not
I'd be very surprised if humanity went extinct in a hundred years, or a thousand. We're very resilient, adaptable animals, and can survive in surprisingly harsh environments. I doubt there's much we can cause that we can't live through.
That doesn't mean we can't create a world we wouldn't want to live in, of course. ckl_88 may be right that our sources of food will be substantially disrupted; we currently rely heavily on petroleum to grow food (not just for tractors & trucks, but even for fertilizer). Once it becomes difficult to continue that, our production of food will drop and we'll face a crisis--not an extinction-level crisis, but one you wouldn't want to live through.
At some point, as our environmental impact reaches some kind of tipping point (maybe combined with a loss of our amazing ability to produce food), we may see a substantial dropoff of population. Again that's not extinction--humanity would survive, but there may be a huge restructuring of society, government, etc. Countries may even collapse and boundaries may change. But we won't go extinct. I'm just glad I won't be there to see it happen.
