Yes, you can grow all kinds of orchids under lights. I currently have plant carts and a rather large fixture that has 8 tubes rated at 6,500k. They are sold as high intensity, T-5 tubes. At the moment I am running a total of 22 tubes illuminating about 45 square feet of growing space.
I grow a mixed collection of Phalaenopsis, Paphiopedilums, Zygopetalums, assorted Cattleyas and Phragmipediums numbering around 150 plants.
I would have to know what type of orchid do you have to recommend what amount of light to recommend to you. You can lessen the intensity of the lights by moving the plants further away from the tubes. You can increase intensity by placing the plants closer to the tubes.
Every thing runs on timers for either, 9, 10 or up to 12 hour days.
80% of my collection summers outside from mid May until early October.
My total electric bill amounts to less then $20 per month, maybe closer to $15. LED's are not terribly expensive.
Just scroll up in the Orchid Forums, find one authored by BigBill called "Growing Orchids Under Lights". I'll bet this will clear things up for you Jared.