I am an undergraduate research assistant in a laboratory at my school. Starting last year's fall semester through the summer and up to now, I have been working in the same laboratory, and I am hoping to gain additional knowledge, skills, and exposure by working in another research lab this summer. I have been looking for opportunities in different schools, but it appears that they encourage me to contact the labs directly.
I am thinking about emailing the lab's PI and copying one of the lab members on the email. Is this an appropriate action as an undergraduate student seeking internship? Also, if I do not receive a response within a reasonable amount of time, is it okay to contact another member in the lab?