It depends on what they mean by "kits." There process of testing for COVID19 requires a number of individual reagents of which Abbott would be well poised to develop some of. However, as @pangloss pointed out earlier, one reagent they are very short on are the actual testing swabs themselves, as one of the major manufacturers of these swabs was was based out of Italy.
So it could be helpful depending on what they're making and where they're sending it too. That is why everyone is looking for the federal government to coordinate things and why everyone is mad they are coming up short. Without some kind of centralized attack plan, it's like a soccer game with 6 year olds - everyone is mobbing the ball.