That's one option.
The second one is to start the process in your MyVerizon account online. There will be a point where it asks you if you have a SIM card. When you answer "No", it will switch to a screen where you can request one and have it shipped to you.
The third option is to call customer service with another phone and request one be shipped to you
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.