Yes, you can still claim your daughter if she was born in 2017, even if it was the very last day, if you were the custodial parent and she lived with you (make sure that you indicate that she lived with you the whole year), and you can't be claimed as somebody else's dependent.
But if some else filed their tax return before you did, and claimed an exemption for your dependent, you can still file your tax return and claim that dependent, but you can't e-file. You'd have to print out your return and mail it, and attach a statement that you are the person who is entitled to claim that person.
The IRS will examine both returns and determine which one of you can claim the dependent. As you can imagine, this unfortunately will delay the processing of your return.
If you keep trying to e-file, IRS, will keep rejecting your return.
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