Simon, there is none.  A convenient place to check such things is Cal Watkins’s listing of PIE etymons in the American Heritage Dictionary of the English Language, 3d ed., New York: Houghton Mifflin Harcourt, 2000. Pp. 8248-8652., which has this entry:

dhē

Important derivatives are: do1, deed, doom, -dom, deem, fact, factor, fashion, feat1,

feature, affair, affect1, affection, amplify, benefit, defeat, defect, effect, efficient,

infect, justify, modify, notify, perfect, profit, qualify, sacrifice, face, surface,

difficulty, thesis, theme.

To set, put.

Contracted from *dheə-.

14. O-grade form *dhō-. DO1; FORDO, from Old English dōn, to do,

from Germanic *dōn.

15. Suffixed form *dhē-ti-, “thing laid down or done, law, deed.”

DEED, from Old English dāēd, doing, deed, from Germanic

*dēdiz.

16. Suffixed o-grade form *dhō-mo-.

a. DOOM, from Old English dōm, judgment (

b. -DOM, from Old English -dom, abstract suffix indicating

state, condition, or power;

c. (see kā-) Old Norse -dōmr, condition;

d. DUMA, from Russian Duma, Duma, from a Germanic

source akin to Gothic dōms, judgment;

e. DEEM, from Old English dēman, to judge, from

Germanic denominative dōmjan. a, b, c, d, and e all

from Germanic dōmaz.

…

Best,

Tim

Timothy Lubin

Professor of Religion and Adjunct Professor of Law

Chair of the Department of Religion

204 Tucker Hall

Washington and Lee University

Lexington, Virginia 24450

https://lubin.academic.wlu.edu/

http://wlu.academia.edu/TimothyLubin

http://papers.ssrn.com/sol3/cf_dev/AbsByAuth.cfm?per_id=930949

From: INDOLOGY <indology-bounces@list.indology.info> on behalf of INDOLOGY <indology@list.indology.info>
Reply-To: Simon Brodbeck <BrodbeckSP@cardiff.ac.uk>
Date: Sunday, August 18, 2019 at 4:24 PM
To: INDOLOGY <indology@list.indology.info>
Subject: [INDOLOGY] Doom and dharma

Dear colleagues,

Can anyone comment on the etymological link (if any) between the word "doom" and the word "dharma"?

Thanks in advance ...

Simon Brodbeck

Cardiff University