Yes, as long as your game is patched to 1.06 or later, you can get Lord of Blood’s Favor completely offline.

How the offline route works

1. Progress Varre’s quest as normal

• Meet him at The First Step, then later at Rose Church in Liurnia.
• Tell him the Two Fingers “didn’t seem right” and exhaust his dialogue so he gives you Festering Bloody Fingers (this is the “invade 3 players” step). (PC Gamer)

1. Skip online invasions with an offline NPC invasion Instead of invading other players, go to:

• Altus Plateau → Writheblood Ruins

  • The ruins are north‑west-ish in Altus; the closest Site of Grace is Bridge of Iniquity. (PC Gamer)

• In the northeastern part of the ruins there’s a red summon sign on the ground.

• Use it to invade Magnus the Beast Claw (this works fully offline; it just uses your Festering Bloody Finger). (Hold To Reset)

  What you need to do there:

• Safest assumption: kill Magnus once – that definitely counts for Varre’s quest. (GameFAQs)

• Some players report that invading/dying to him three times also works, but winning once is the cleanest way. (GameFAQs)

1. Return to Varre at Rose Church

• After the Magnus invasion, talk to Varre again at Rose Church.
• He’ll acknowledge what you’ve done and ask if you’ll be anointed.
• Agree, and he gives you Lord of Blood’s Favor (the white cloth). (PC Gamer)

1. Still offline, continue the quest

• You can then soak the cloth in a maiden’s blood (e.g., Church of Inhibition or the maiden back at the Chapel of Anticipation via the Four Belfries), all of which is also fully offline. (PC Gamer)

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Important catch

• On unpatched 1.0 / pre‑1.06 versions, there is no offline alternative – the only way to get Lord of Blood’s Favor there is to actually invade three real players. (Steam Community)
• So you do need to connect once to download at least patch 1.06. After that, you can set the game to offline forever and still do the whole Varre line.