I am unable to submit online quizzes on time due to technical difficulties, and it is negatively affecting my mental health. Can I get extra time? I am an undergrad student taking a chemistry class. We have a 50 minutes quiz every week during the discussion section. The TA usually emails this quiz to us, and while my class is at 1:00 pm, the TA usually emails it to us at 1:01 pm. So, once I get the quiz on the email, I need to print it out (it takes some time to print out) then I start working on it. Usually, I try to finish the quiz by 1:48 pm so I can camscanner it, then email it or airdrop it to my computer, and then send it before 1:50 pm, because after 1:50 pm it considered to be a late submission which results in a zero for the quiz.
This is challenging:

One time, I finished it at 1:48 pm, and at 1:49 pm I emailed it back to my TA. However, for some reason, the email was received late, and the quiz appeared to have been submitted at 1:51 pm. The TA gave me a zero for late submission, and I had to go to the professor to receive a full grade.

For the next quiz, I thought writing an exam on an iPad would be much faster instead of printing, scanning, and emailing it. But, the file was too big for Gmail, so it took some time to upload. So I airdropped it to my computer and emailed it to the TA. My exam was 1 minute late again. I sent him an email right away with the screenshot that the file is big so it took a long time to upload.

Today was the third time that this put me into hysterics. I went back to printing, camscanning, airdropping, and emailing. But, airdropping didn't work, so I emailed it to myself and sent it to the TA from the school email. Once again I wrote him a huge email with explanation and as well with proofs with time. My hands were shaking so as my head, I started crying because this was my third time when the devices are glitching, and I was going to get a zero again.


How can I get more time for the quizzes?
About your actual question, yes, there is a way to get extended time based on having anxiety during exams or related things (although I cannot make any guesses as to whether you would qualify given your specific situation). Here is what I think is the relevant office at your university to consult about that.
About the broader context to your question, this situation is very sad and unfortunate. I think your instructors are probably unaware of how badly their tech cluelessness is affecting their students. If they are aware, then treating you and your fellow students this way intentionally seems unconscionable to me.
Given this, I think you should consider going not only to your professor but to someone in your program with the story of how this situation is creating an impossible learning environment for you. I’m sure there are sympathetic, well-intentioned people at your program (e.g., an adviser, undergraduate program chair or vice chair, etc) who have authority and would be able to advocate for you, and would genuinely want to know about and address these types of problems, not just for your sake but for all the students’ sake. I can tell you that just as you are struggling with studying in an online environment, many professors are equally struggling with teaching in such a setting as well, and do not always have everything figured out about addressing the many practical and logistical challenges that come up. Hearing from students about what is working and what isn’t provides vital feedback that would enable them to correct course where appropriate.
Good luck!