Tablet SIM card in a Smartphone

So theoretically if I had a tablet that was on a Verizon 4G/LTE data plan, and I purchased an off contract 4G/LTE smartphone that's SIM size matched the tablet, could I transfer that SIM card from the tablet to the smartphone and be able to use it on the data only plan? I understand that I will not be able to use it for normal wireless phone calls and texts but I'm not worried about that. I've seen a lot of posts(on other forums) of people taking their SIM cards from their Galaxy Nexus and putting them in their iPad and being able to use the data that's on their plan. I'm just curious if it's possible to do it the other way around.