Tax Year Prior to 2020: If someone claims me as a dependent can i still file taxes

[Mike9241]

no 

a taxpayer cannot claim anyone as a dependent if they themselves can be claimed as a dependent by another person IRC Sec 152(b)(1)

[Critter-3]

If you are being claimed as a dependent you cannot have a dependent of your own ... in that case your child would also be claimed by the person who can claim you.