In a black and white answer... no, its not possible,
In a Real Live setting... You Never know, it all depends what genetic material the chicken used, and what genetic material the duck used. In a nutshell, its like a Lock and Key. Chickens have the lock and rooster have the Key. Ducks also have a key, but the key does not fit the lock and wont unlock the "egg". But if there is duck with the right "Key", you might get a fertile egg. Its a very very very slim chance. and even if the egg does get fertile, it still has to survive to hatch, and make it..
Id incubate the eggs... YOU NEVER KNOW. I support the idea. best of luck, and keep us posted.
Ps. My chicken eggs take 3 weeks to hatch, and my ducks take 4 weeks. but im sure you know that.