If you see hope as just a word to describe positive thinking, then yes, I think that hope that get you through anything.
My family has just had a terrible year, with members being diagnosed with cancer, some surviving, some, sadly, not. We miss those who died. My own mother has had the worst year of her life, undergoing the gruelling treatment for aggressive breast cancer, and had to put up with extreme side effects that most people don't suffer these days because of anti-sickness drugs and so on. Nothing worked for my mum, and her suffering was acute and sustained. But we laughed our way through the year, laughed in the face of all the horrible stuff, and we got through it. It was partly what we might call hope - and partly because of the way we have conditioned ourselves to be. I suppose we might say, within my close family, that we have achieved a sort of enlightenment - we achieved this before cancer, so that when cancer arrived we already had the tools to know how to deal with it. We already knew that every day was a gift to be treasured (I don't mean a gift from God), that we should live it to the full, that there are always people who are worse off in the world who need our compassion and understanding.
For us, this has nothing to do with faith or God, because we are all atheists. This is to do with the universe, and knowing our place in it, and understanding that we're just part of a bigger picture of something extraordinarily beautiful, and that our suffering is beautiful too, just by the simple fact that it exists.
The threat hasn't lifted from my mum yet - and we will always worry that cancer may come back and get her in the end - but that will never make us give up hope, and our positivity. We already understand that we will die, all of us, and we have already accepted that. Once you've accepted that death will happen, and that you can't know when it might be, it's possible to see everything as a wonderful and beautiful miracle (I don't mean a miracle as ordained by God).
That's how I live my life. It makes me happy, blissfully :)