Sorry but there is no Yes or No answer for this Q.
This is about primary prevention (as the person in question doesnt have any history of heart problem).
The best guidelines about prevention in the US are provided by USPSTF (U.S. Preventive Services Task Force). This is what they say about use of Aspirin
in people who dont have heart-problem history:
"The USPSTF found good evidence that aspirin decreases the incidence of coronary heart disease
in adults who are at increased risk for heart disease. They also found good evidence that aspirin increases the incidence of gastrointestinal bleeding
and fair evidence that aspirin increases the incidence of hemorrhagic strokes. The USPSTF concluded that the balance of benefits and harms is most favorable in patients at high risk of CHD (5-year risk of greater than or equal to 3 percent) but is also influenced by patient preferences."
Here is the direct link for this paper....
Now as we can see a strong FH of diabetes
and IHD would mean a higher risk.
But is this risk sufficient enough to start Aspirin (specially when you are healthy with good BP)??!!
This Q can be best answered by a doctor after full examination and investigation.
Check this excellent link to calculate the cardiovascular risk in a person.....
Hope this will throw some light on your query.