Shenzhen VOA two times in a row?

Hi, I am from Canada and currently live in Shenzhen. My daughter's visa will expire on May 29, 2014 but she needs to stay in China until June 7th.

We will apply for a VOA on May 30 and will get 5 days.

My question is, can we apply for another VOA on June 4th?

Regards,
Martin