There's no way I can meet that deadline. 我根本无法在那个期限内完成。
We're working to a tight deadline (= we do not have much time to finish the work). 我们的工作期限很紧。
I'm afraid you've missed the deadline - the deadline for applications was 30 May. 恐怕你已经错过了规定的期限——申请的截止日期是5月30日。