No, but you have to be careful.

The most basic advice I give people if they are on the fence about applying for SSDI or attempting work.... If you succeed at work, great. Then you can work, and you didn't qualify for SSDI anyway. Just as well, since your application will indeed be denied. If employment doesn't work for you, great. That's more evidence that you are disabled and can't work. Either way, carefully document efforts to apply, any paid hours, obstacles you encounter....

More detailed- if someone is in an appeal status, I advise them not to try to work. They will lose back pay if they do.

Most detailed- yes, you can work if you are applying for disability, and do so successfully. BUT... That work has to be below SGA. To be especially careful, I suggest at least a couple of hundred below SGA. And it has to be very, very clear that you can't do more without exacerbating symptoms. You need a friendly, aware, supportive employer for this because a statement from them is most useful.

For example: Jane works 2 days a week. She needs one day of complete rest. The other four, she goes to a program. If she skips a day of program or her day off, she gets more symptomatic and has had to go to the hospital. I can show this pattern in medical records. (This one got denied but succeeded on appeal, when we also had better proof that not working at all also made her more symptomatic)

Andy can work three 4 hour shifts a week. When he's tried to work longer hours or more days, he gets panic attacks. His employer has found him crying in the back room a few times when they tried. If he works these minimal hours, with no direct customer support (no cashiering, just stocking and cleaning) Andy does fine. I have a letter from the employer stating this and making it clear that Andy can't be promoted because he hasn't done well interacting with customers or suppliers. (Approved right away- we had really good records and the statement from the employer was very detailed and incredibly helpful. He knew Andy's illness and could also detail accommodations)

TL;DR: So , yeah. You can decide what to do. Generally, if you work you're not getting disability. That's not a hard rule, but it's going to be complicated if you want to do both