Alternate phone # for 2-step verification?

Hi. I have CC purchased by my company; they have a login email and they set it up with a phone # that one of our admins has access to . My company gave me a PC to use at home when I am putting in overtime or have to work remotely. I end up doing this fairly often. Most of the time, it's not a problem; I use the company login, it asks me to sign out of the machine at the office so I can sign in on the home PC, and then I just reverse the process when I return to the office and need to use that machine. 

Sometimes, though, it asks for 2-step verification and wants to send a code to the phone they have on record; problem is that I don't have that phone available to me, and the person who does have that phone is in Mexico in a different time zone than me and often is not available during the times I need to sign in. Can they add my phone # as an alternate for me to get the code? Or can I add some sort of marker on my home and work PCs so CC "knows" that they are trusted machines?