Yes, if you haven't yet, visit or speak with someone at the centre at the institution that deals with accommodation. I'm a university professor and we get requests all the time for students who need some form of accommodation for the course, and this is the very legitimate case you've described.

Also, if you think your parents aren't supportive or empathetic, it may be helpful to send them or give them some resources for family members of someone who suffers from depression. I did that with my community of support (Mom, Dad, brother, two best friends) and it turned out to bring us closer together.

RJ78