This may end up in the realm of political philosophy rather than politics per se, but you're basically talking about the difference between de jure (in the law) and de facto (in reality).
There's two things going on here that need to be acknowledged:
The government is not infringing the victim's freedom. In that sense they have the freedom of speech, de jure.
An act of violence is being perpetrated by their fellow citizens, from which (we assume, since you do not mention) the state is not shielding/rescuing them. This means the state has de facto ceded its responsibility to the arresting organization. This means either that organization is de facto legitimately acting on behalf of the government, which invalidates #1, above and your answer becomes "No, it does not." Or the state is impotent to enforce its own laws.
In the latter case, it's less a question of "does the country have free speech?" and more a question of "Does the country meaningfully exist in the first place?"
This overlaps with the difference between "Positive" and "Negative" freedomsrights. Positive freedomsrights are those things which the government does not, itself, restrainsociety is obliged to provide/create for you - e. Free Speech,g. in the United States and elsewhereyou have, is this type. The government may not interfere with yourwhen arrested, the positive right to speak on matters of politicscompetent counsel (the right to an attorney, etcif you cannot afford one, the state is obligated to provide you with a public defender).
A Negative Freedom means somethingrights are those which not only will the government of a society is obliged to not prevent you frominterfere in, but it willyour fellow citizens are not tolerate any othersrequired to interfere withprovide it, either. Freedom to go about your business without fear of violence is this type. I speak about the United States, since that's what I know, but in the U.S. it's a crime to even threaten to use force against someone (known as assault, actually using said force is battery)you.
Where these intersect can sometimes seem blurry, but it boils down to: You have the positiveYour right to free speech, and is the negativelatter. Your right to be free from violence - even fromby your fellow citizens is the former -(manifested as a consequencepolice making arrests of that speech. But you do NOT have a negative right to free speech, your fellow citizens may de-platform you, shout you down, and socially shun you to their heart's contentpeople who commit such violence).