Implant placement is dependent on the availability of bone. If you have enough bone, then you can definitely go for implants.
Diabetes and Hypertension are not going to be issues if they are under control. If you are on blood thinners like aspirin, then your implantologist might ask you to stop that particular medication for 3 days before the procedure.
Next Steps
See your dentist or implantologist and discuss your case. You will have to undergo x-rays and ct scans to determine the quality of your bone and to see whether implants can be placed at all or not.