Taking the phrase "hard-wired for stress" in a metaphorical rather than literal sense, the answer would seem to be yes. People who are more sensitive to stress - and who therefore experience more stressful episodes, of greater intensity, and for longer duration - will be at increased risk of developing dementia.
However, it’s extremely important to emphasize that everyone can control their stress response. Being born with, or acquiring, an elevated stress response does not condemn us to Alzheimer’s disease, or any other dementia - but it does increase our risks.
Anyone who might regard themselves as "hard-wired for stress" should seek out the many effective ways of reducing stress in their lives. There are numerous non-pharmacological tactics for stress reduction, including:
Avoiding nicotine and stimulants will also help lower the stress response once you have weaned yourself off them.