Is tay-sach's disease associated with developing other genetic conditions?

Possibly. Because tay-sach's disease is one of several genetic diseases that can occur in people of ashkenazi jewish background, when screening is done for this disorder, usually several other disease states are screened for as well. This is a very complicated area to discuss and genetic counselling is best left to experts in this area.
No association . Tay-sachs disease is associated with many body and brain abnormalities. it is based on an inheritance of abnormal recessive genes carried on chromosome 15
There is no display of the features of the disease unless both parents would be carrying one copy each of the same abnormal gene. Other inherited diseases observed in a new born would be a reflection of inheritance of other abnormal genes.