Unless Hasten died or someone else hands in items, the tables would keep. I did a MQ for my monk's robe, and after the first pipe was turned in (1/3 requirements) the robe was provided. This even happened after a few cycles of de-spawning and re-spawning. If you decide to do this, bring a friend to literally sit there and hail Hasten the entire time you swap characters so he doesn't start running off.
So yea, you would have time. A more convenient idea would be to trade MQs with someone in a similar situation.
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Yevea Enchanter
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