It's an intonation question. The word order is that of a statement, but the final question mark means you raise your voice at the end and turn it into a question.
The meaning here is different from a pure question. In a pure question, the speaker is just asking for information. Phrased like this, the speaker wants to assume that what he is asking is the case, and just wants confirmation (or to get to admit the listener that it's not the case, and explain why it is so).
For a pure question, the word order would be "Kann ich mich ..." (subject before dative object before accusative object).