"Oleg to stand on” is a pun for “a leg to stand on” and has been cited in print since at least 1946. A popular version was posted on Twitter on July 15, 2016:

“One of the Russian acrobats in our human pyramid has been deported. We didn’t have Oleg to stand on.”


The Free Dictionary
not have a leg to stand on
to be in a situation where you cannot prove something

8 December 1946, Des Moines (IA) Sunday Register, “It Happened Last Night” by Earl Wilson, sec. 7, pg. 1, col. 1:
When Gene Tierney Cassini gets her divorce, suggests Angi Bond, she won’t have Oleg to stand on.

Twitter
Frost*ie
‏@_SmartUK
Nadia’s upset that her circus acrobatics routine is ruined, but she fired her partner so she hasn’t got Oleg to stand on #badaboom
2:27 AM - 21 Feb 2011

Twitter
Peter Cashmore
‏@TweetCashmore
My Russian formation gymnastics partner has decided to quit on me. Now I don’t have Oleg to stand on.
7:34 AM - 31 Dec 2013

Twitter
we bionic arm
‏@harwood_town
The court made me pay angry customers back after I had to cancel my Russian human pyramid show. I didn’t have Oleg to stand on. #1PUN
7:00 AM - 10 Apr 2014

Twitter
Andrew Hutchcraft
‏@andyhutchcraft
@JohnRentoul One of the Russian gymnastic brothers has sadly died. The other brother has now retired as he doesn’t have Oleg to stand on.
9:31 AM - 4 Nov 2015

Twitter
Michael Thompson
‏@emptyheadtwo
One of the Russian acrobats in our human pyramid has been deported.
We didn’t have Oleg to stand on.
#1PUN
7:41 AM - 15 Jul 2016

Twitter
Shit Jokes
‏@ShitJokes
One of the Russian acrobats in our human pyramid has been deported.
We didn’t have Oleg to stand on.
2:32 PM - 24 Jul 2016

Twitter
Shit Jokes
‏@ShitJokes
Gutted that one of the Russian acrobats in our human pyramid has been deported.
We don’t have Oleg to stand on.
2:58 PM - 3 Feb 2017