So I accidentally checked that someone can claim me as a dependent on my 2019 taxes so I didn't get my stimulus checks. Is there a way I can still get them??

don't worry about it. here is why:

on  the 2020 tax return, there is a 'settle up' section to determine what you are owed.  it is all based on 2020 filing status and  income.  Nothing about 2018/2019 matters.

I would encourage not rushing to file because the 2nd stimulus payment is not programmed into turbo tax yet but all are hopeful it will be before the filing window opens in late January.

you want to be confident that the amount that ends up on Line 30 of Form 1040 is the stimulus money you are expecting.  it will end up as a credit that increases your refund. 

does that help?