Can veterans immigrate to the United States?

Of course. But as pointed out upstairs, it will take some time. If you are determined to immigrate to the United States, you must solve two key obstacles:

1) Become a common people thoroughly, preferably a successful businessman (well-known scholars or high-tech talents estimate that your opportunity has passed and there is no time).

2) funds. At present, if it is safer, it should be around one million dollars.

Solve these two problems and then talk about the formalities. Otherwise it doesn't make much sense.