Is there a similar saying or idiomatic expression in English, which would correlate with the above-mentioned one, implying that misfortune will befall even on those ones, already in trouble ?
It never rains but [what] it pours.
it never rains but it pours [phrase]
You can use the expression it never rains but it pours to mean that several unfortunate events often happen at the same time.
[COBUILD Advanced English Dictionary] ...............
it never rains but it pours [in British]
events, esp unfortunate ones, come together or occur in rapid succession
[Collins English Dictionary; op cit]
Obviously, the implication is that the unfortunate events happen over the same region / to the same people.
Misfortunes never come singly TFD
Prov. Bad things tend to happen in groups.
I already told you that my wife lost her job. Well, misfortunes never come singly; our house was robbed last night.
Not a popular one but it is worth considering:
Bend over, here it comes again. BOHICA is its Acronym.
Referring to something bad which is about to happen again or as usual.
The Free Dictionary defines as:
Trouble isn’t over yet, there is more on the way. TFD
- It snowed ten inches yesterday. BOHICA. They forecast another foot!
Alternatively, there's kick a man when he’s down. Macmillan defines it as:
to treat someone badly when they are already in a weak position
This is more particular to heaping more misfortune on an already struggling individual.
Out of the frying pan and into the fire
From a bad situation to one that is much worse
American Heritage Dictionary
You can run, but you can't hide, according to The Free Dictionary:
"No matter what you do, you can't escape the consequences that you are trying to avoid."
They also provide an example:
"I know you took money from me. You can run, but you can't hide—I'll find you eventually."
I think the going uphill part in your proverb might be similar to the running part in the English proverb. In your proverb, I think, you try to run uphill to outrun the stone, but it will catch you. In the English proverb you try to hide (from someone or something), but you cannot, you will eventually be found by the ones looking for you.
The best-laid plans of mice and men often go awry
No matter how carefully a project is planned, something may still go wrong with it. The saying is adapted from a line in “To a Mouse,” by Robert Burns : “The best laid schemes o' mice an' men / Gang aft a-gley.”
In this case, it doesn’t matter whether the plans belong to the person at the top of the food chain, or the mouse at the bottom, both are subject to misfortune.
There is the saying:
What goes around, comes around
The Free Dictionary says:
One's actions or behavior will eventually have consequences for one, even if indirectly. The phrase typically refers to one being a victim of the same negative circumstances that they have inflicted on others. Russ picked on me back in high school, and now he has his own bully. What goes around comes around.
A corollary to this is:
Karma's a bitch
Dictionary.com defines karma as:
Theosophy. The cosmic principle according to which each person is rewarded or punished in one incarnation according to that person's deeds in the previous incarnation.
Thus if you do wretched things to others, you are destined to have wretched things done to you. Now ain't that a bitch.