About this interrogative phrase

An is the interrogative form, present tense of the copula is.

Féidir used with the copula (and usually with the preposition le + subject / prepositional pronoun formed from le, as here) translates as can, be able.

Thus, an féidir liom? translates as can I? (literally, 'is it possible with me?').

Prepositional pronouns formed from the preposition le

• liom: with me.
• leat: with you.
• leis: with him; with it (masculine).
• léi: with her; with it (feminine).
• linn: with us.
• libh: with ye (plural).
• leo: with them.

The same prepositional pronouns' emphatic forms

• liom-sa: with me.
• leat-sa: with you.
• leis-sean: with him; with it (masculine).
• léi-se: with her; with it (feminine).
• linn-ne: with us.
• libh-se: with ye (plural).
• leo-san: with them.