Am I allowed to invest in a research opportunity at an institution that I am not attending?

Am I allowed to conduct research opportunity at an institution that I am not attending? I am a senior about to graduate high school and I was curious to see if I could research at a school that I am not attending or did not apply to.

This is an oddly phrased question, so it’s hard to tell what you’re asking. If you’d like to participate in a research project, there may be ways to to that as a non-student; you could volunteer to serve as an intern for example. If you’re asking if a school where you’re not a student or employee would allow you to use their facilities to conduct research of your own, it’s unlikely but you could ask the school itself. Depending on the school and what you need, they might allow you to use space or to rent facilities.