Yes, you can disable threading, but this applies to all inbound messages for that channel.

What is probably a more helpful solution is to ensure that you’re not sending these email blasts using a bulk BCC method, but rather sending a separate email (importantly with a unique email Message-ID header) to each recipient - this will ensure responses thread in separate per-recipient conversations. 

Front Sequences supports this by default, or you can ask your bulk-mail provider how to accomplish this if you’re sending via another tool

Thank you ​@jason, that helps. The puzzling part is that we had at least one situation where the same sender sent multiple orders in to our sales@ email and, while the subject lines were similar, they were not the same. Reading your reply, it seems as though the emails shouldn’t have threaded if they were separate emails with different subject lines. Unfortunately, this caused our customer’s orders to be overlooked as we weren’t aware that Front would stack them like that. Any suggestions on this one?

This may depend on the channel being used. 
For example, if you received these messages via a Gmail channel, and Gmail tells Front these messages should thread together - Front will adhere to that instruction in some cases. 

I’d suggest sharing a specific Front Message IDs with the Front support team via this form and the team can look into the specifics of this case with you.