keeping a part-time teaching job while being a MCAA fellow?

Hello, I need your advice: can I keep a part-time teaching job (at a US uni), while being a MCAA fellow in Spain? I'm teaching an online course and would like to keep doing that for 2 reasons: (1) I do love teaching and don't want my teaching skills to get rusty, while I am working on my research project; (2) The subject I am teaching (anthropology) is closely linked to the topic of my research, by teaching this course I keep improving my level of expertise in this field, while the host institution cannot offer any training courses in anthropology. Thank you