international phone plan on top of SIM card

i'm going to study abroad in quito ecuador from january to may. the university requires students to use a claro SIM card that comes with a small amount of international call minutes and texts (25 mins calling and 500 texts per month) but i know i will definitely require more. i will also have some other friends studying abroad at the same time to different countries and they will all have regular international plans with no SIM.

my question is, would it be possible to have both the ecuadorian SIM card AND a verizon international plan? i do a LOT of calling and texting and wifi will be spotty there so whatsapp will only be so helpful. so is it possible to have both at the same time? thanks!