Is it possible to get in to Genetic Engineering after completing a bachelors in computer science?
It is common for graduates to jump between communications, electronics, computer science domains. But it is usually not so for something like genetic engineering even though it is considered an interdisciplinary field. Institutions might expect graduation from either of biotechnology, molecular biology, microbiology or biochemistry.

This would however be different for fields such as genomics and bioinformatics where institutions do accept CS graduates provided they have a background in areas like data analytics, machine learning, data mining, data science and the like. 

As this would depend on the eligibility and preference criteria of the institution concerned, it would be better for your to consult with the prospective institution that would offer the program desired.