Dead Island 2 and Dying Light were not produced by the same company. The developer of Dead Island 2 was Deep Silver Dambuster Studios, which did not continue the production of Dead Island 1 by Techland.
Answer : No.
1. Dead Island 2 and Dying Light were not developed by the same company;
2. The developer of Dead Island 2 is Deep Silver Dambuster Studios;
3. The developer of Dying Light is Techland; Techland is a Polish game development and production company.
4. The developer of Dead Island 1 is Techland, but Dead Island 2 is no longer produced by Techland!