Yes, as long as the request is natural and the first conversation went well. Consultants often have colleagues in other offices, but you should make the introduction easy to decline.

Do not ask for a broad chain of introductions. Explain why the other office is relevant and what you are hoping to learn that the current contact cannot answer.

A simple phrasing is: "I am also exploring the Chicago office because of its healthcare work. If anyone comes to mind who you think would be useful to speak with, I would appreciate an introduction, but no worries if not."

Ask near the end of the conversation, thank them either way, and do not treat the introduction as guaranteed. For more detail, see the consulting networking guide and the consulting coffee chat guide.

This feels fine if there is a real reason for the other office, not just collecting contacts.