Absolutely! We have several students who are drop shipping from all over the world and making money. Each country is different, so make sure to check out the laws in your local area.
Check out this link, under the section titled "International Student Questions" - https://dropshiplifestyle.zendesk.com/hc/en-us/articles/217453897-What-do-I-need-if-I-want-to-sell-in-the-United-States-
You should be able to find all the answers to your questions about drop shipping internationally there =)