Acceptable to work a remote PE/HF/Asset Management Internship before Junior SA?

Hello, I accepted a Junior SA position at a BB last spring. I have a lot of spare time this semester, and was hoping to learn more and continue gaining more financial experience. I was thinking about reaching out to some PE/HF/Asset Management firms to see if they would be interested in taking on a remote intern this semester, and I was wondering if this is acceptable given that I have accepted a SA 2023 position (in Investment Banking) already or if there is anything I should know / consider before looking for an internship this semester? Thanks!