As Nanbeiro as said, you need 'contigo' in this sentence. Here in Spain is more common to use 'sacar' instead of 'tomar', so it would become:
"¿Me puedo sacar una foto contigo?"
Other possible verbs are also 'hacer' or 'echar':
"¿Me puedo hacer una foto contigo?"
"¿Me puedo echar una foto contigo?"