If you mean leaving the masjid you are doing itikaf in to another masjid, this is not permissible.

Sheikh is it ok for me to go to the mosque to attend lessons to learn the Quran while I am doing itikaaf?

E'itikaaf | March 3, 2014 2:34 am
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Can we keep a niyyah for I’tikaf every time we enter the masjid ?? and what should we say the niyyah as ?
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If a woman wishes to do Itikaaf at home, does she have to stay in one room for the whole period or is she allowed to go to the kitchen to cook?