Chinese Student Visa in Hong Kong

Would it be possible for me to obtain a student yype (given i have all the neccessary documentation ready) in Hong Hong as a non-resident? I would be flying first to HK, apply and then depart to Beijing. Are there any limitations on the lengh of an X2 type in this case? Currently it is not practical for me to apply in the country of my residence, and being able to do so in HK would be really handy! (Italian passport holder)
Thanks!