If it was me (and I don't have a license either), I would apply for the job. I would not tell them that I don't have car or a driver's license unless and until an immediate problem arises. They are not allowed to ask at the interview and they probably won't think to. They can ask if you have reliable transportation, which you do. If you get the job and have travel to some meeting, a well-equipped bike, in combination with buses, trains, planes, and taxis, should get you wherever you need to go.
For most of my life, I thought that not being able to drive was the most disabling aspect of my visual disability. However, about eight months ago, I read John Forester's book "Effective Cycling" and I realized that I can go wherever I want whenever I want on my bicycle. Since then, I haven't felt crippled at all by my inability to drive.