Yes, you can use the non-stop TPE or EMR services. Condition 14.3 of the National Rail Conditions of Travel (NRCoT) allows you to change from one ticket to the next, without stopping at the split station, when one (or both) of your tickets is a ranger. Non-stop splits can be prohibited by the terms and conditions of one of the tickets (this is the case for some West Yorkshire rangers IIRC), but the
GM Wayfarer conditions don't mention any restrictions on non-stop splits.
You might struggle to buy this combination of tickets at Sheffield, because the ticket office there is notorious for making up their own rules. Northern ticket machines can now sell the Wayfarer to you, though.