In order for your parents to be able to claim you as a dependent, all of the following must be true:
Relationship — the taxpayer’s child or stepchild (whether by blood
or adoption), foster child, sibling or stepsibling, or a descendant of one of
these.
Residence — has the same principal residence as the taxpayer for
more than half the tax year. Exceptions apply, in certain cases, for children
of divorced or separated parents, kidnapped children, temporary absences, and
for children who were born or died during the year.
Age — must be under the age of 19 at the end of the tax year, or
under the age of 24 if a full-time student for at least five months of the
year, or be permanently and totally disabled at any time during the year.
Support — did not provide more than one-half of his/her own support
for the year.
Since you stated that you have supported yourself (paying for more than 1/2 of your support), then No, they cannot claim you and you can filed your own return as an independent.
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