Morkus from Orkus
Other than any semblance of believability anyway.I'm not sure what you mean.
By any interpretation of a long rest, walking (or traveling) up to 1 hour does not interrupt a long rest.
And even if the PC end-up fighting for 30 rounds - that's three particularly long fights of ten rounds each - that' d still allow them to walk 57 minutes before interrupting a long rest. It's not stretching anything much.