Do I have any chance of getting a single room?

I realize that I have about a 0% chance of getting assigned a single room in my circumstances, but I just wanted to confirm that probability. If I were to be accepted for freshman undergraduate admission (2020 - 2021) about a month from now and then I applied for housing, is there any slight chance I could get a single room if I were to apply for it & could afford it? I understand that housing applications for freshman start Nov. 5th, so my chances are most likely nonexistent, especially with hypothetically applying for housing ~1 month after applications open. I just wanted to know if anyone has any personal experience with this or just has any info that could let me know. Thanks.