Errand, errant

I wondered: could errand and errant be related? Isn’t a knight errant, roving about, kinda like on an errand sort of, maybe?

Etymonline on errand :

Old English ærende “message, mission; answer, news, tidings,” from Proto-Germanic *airundija- “message, errand” (source also of Old Saxon arundi, Old Norse erendi, Danish ærinde, Swedish ärende, Old Frisian erende, Old High German arunti “message”), which is of uncertain origin. Compare Old English ar “messenger, servant, herald.” Originally of important missions; meaning “short, simple journey and task” is attested by 1640s. Related: Errands. In Old English, ærendgast was “angel,” ærendraca was “ambassador.”

And on errant :

mid-14c., “traveling, roving,” from Anglo-French erraunt, from two Old French words that were confused even before they reached English: 1. Old French errant, present participle of errer “to travel or wander,” from Late Latin iterare, from Latin iter “journey, way,” from root of ire “to go” (from PIE root *ei- “to go”); 2. Old French errant, past participle of errer (see err ). The senses fused in English 14c., but much of the sense of the latter since has gone with arrant.

So, no.

I sometimes guess correctly about etymologies. See doff and don. But not often.

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