'damage the future' is correct and usable in written English.
You can use it in any context when you want to describe an action or behavior that will harm or negatively impact the future. For example, you might write, "The effects of climate change are already damaging the future of our children and grandchildren."
Any sharp move to reduce retirement benefits would hurt not only my generation, it would also damage the future prospects of today's workers.
Yesterday, the editor of the Lancet, Dr Richard Horton, argued in an editorial that the verdict of serious professional misconduct was not only unjust but would profoundly damage the future of child protection services in Britain.
That is the difference between Labour, which makes investing in skills and knowledge a priority, and a Tory-led government that will restrict opportunity and damage the future of our economy".
We should strengthen the protection of minors online, crack down on the spread of pornography and violence, and make sure that the Internet does not damage the future of mankind".
"We must not damage the future of healthcare in the area but this is the only opportunity we have to make sure this is right decision for patients and staff at the hospital".
You are silencing the voices of the past and you are damaging the future.
We don't adhere to their ideas and they are damaging the future of our children.
Seeking to balance the national budget on the backs of disadvantaged students is not only harmful to educational success, it damages the future of our community and economy.
Zadie Smith has described libraries as "absolutely essential", Alan Bennett believes that closing branches is verging on "child abuse" and Neil Gaiman that failing to value libraries is "silencing the voices of the past [and] damaging the future".
He was, it is said, also deeply interested in learning how China had opened up, questioning in particular how it could be done without damaging the future of socialism.
Continuing warfare there is not only producing a humanitarian catastrophe big enough to rival that unfolding in Afghanistan, but it is also damaging the future of the rest of Africa, and with it the prospects of tens of millions of other Africans.
