Are there any programs that help veterans start a business in the farming industry?

Here is a article on Stripes about it. http://www.stripes.com/news/veterans/grants-to-help-veterans-become-farmers-1.296660

Not only are loans available so are grants.

http://veteransfarm.org/
Our mission is to help veterans reintegrate back into society through the use of our Beginning Farmer fellowship program.

Work Vessels for Veterans http://www.workvesselsforveterans.org/
Provide training tools such as labptop computers to new beginning veterans farmers. In addition they donated equipment after the students graduation that will help support them with the start up of their new farms
A main fiscal 501c3 non profit sponsor.

The Mission Continues https://www.missioncontinues.org/
Sponsors students in the training program and provided volunteers to help veterans and their families build their farms

Farmers Veterans Coalition
Provides farming mentorship, guidance, resources and post training to Veteran Farm graduates

The Good People Fund https://www.missioncontinues.org/
provides funding for training material, equipment and training support for Veterans Farm students.

http://www.sba.gov/content/agriculture

The SBA has some farm loans. I do not know if they have a specific military to farmer program but they do have new farmer and veterans loans.