根据这个网站，如果打疫苗14天之后，可以随便进阿拉斯加

https://www.justia.com/covid-19

Alaska

Non-vaccinated travelers are advised to get tested for COVID-19 within 72 hours before travel or get a free COVID-19 test at an Alaska port of entry, but testing is optional. A second test 5 to 14 days after travel is recommended but optional. No testing rules apply to fully vaccinated travelers (more than two weeks after final vaccine dose). People who are currently positive for COVID-19 cannot enter Alaska until they are released from isolation by a health care provider or public health agency. People who have tested positive for COVID-19 within the last 90 days are not advised to get tested again.