No, you can not access inside the buildings with a baby stroller. The Council of Alhambra and Generalife offers a surveillance service for strollers and baby backpacks for hiring, presenting the ticket of the day. Visitors who wish to do so may deposit their stroller in the Puerta del Vino locker and obtain in exchange a baby carrier backpack (up to a maximum of 12 kg.) for a more comfortable visit and also contributing to the conservation of the monument.