It is wrong not because of "jeszcze" - but because of lack of double negation. The correct answer would be "Nie, jeszcze nie znam tego miejsca" or shorter "Jeszcze nie znam tego miejsca". Generally, the word "nie" has to directly precede the verb, but aso may appear once again in the beginning of the sentence, as an interjection (exactly as no and not - Polish "nie" covers the meaning of both of them).

Polish grammar "likes" negation very much, so it is added to the sentence at "almost every step" of creation of the negative phrase. Therefore, in Polish there are phrases with single and double negation, or triple negation, and even can be with quadruple negation. Often a Polish phrase expressing negation requires the usage of the word "nie" + antonym of the subject in question.

The reason is that the negation pronouns associated with negative sentences, like "nic" [nothing], "nikt" [nobody], "żaden/żadna/żadne" [none or no one], "nigdy" [never], etc - they can work alone only if they do not go with a verb. If there is a verb - the verb also has to be negated. See some samples:

Single negation - used only when you want to express the shortest way possible:

• Czy byłeś kiedyś w Londynie? -- Nie. = Have you ever been to London? -- No.
• Czy byłeś kiedyś w Londynie? -- Nigdy. = Have you ever been to London? -- Never.
• Czy znasz to słowo? -- Nie. = Do you know this word? -- No.
• Czy znasz to słowo? -- Nie znam. = Do you know this word? -- I don't know.

Double negation - a typical one.

• Czy byłeś kiedyś w Londynie? -- Nie, nie byłem. = Have you ever been to London? -- No, I haven't.
• Czy byłeś kiedyś w Londynie? -- Nigdy nie byłem. = _ Have you ever been to London? -- I have never been._
• Czy znasz to słowo? -- Nie, nie znam. = Do you know this word? -- No, I don't know.

Triple negation - an extended typical, adding some emotion

• Czy byłeś kiedyś w Londynie? -- Nie, nigdy nie byłem. = Have you ever been to London? -- No, I have never been.
• Czy znasz to słowo? -- Nie, w ogóle nie znam. = Do you know this word? -- No, I don't know even a bit; No, I don't know at all.

Quadruple negation - expresing annoyance, irritation

• Czy byłeś kiedyś w Londynie? -- Nie, nigdy nie byłem w żadnym Londynie. = Have you ever been to London? -- No, I have never been to any London.
• Czy znasz to słowo? -- Nie, w ogóle nie znam żadnego. = Do you know this word? -- No, I don't know even a bit of any.

This causes some funny nuances. If there is a question: Czy zrobiłeś wszystko? - Have you done everything?, the answer could be:

• Nie zrobiłem wszystkiego = I have not done everything (but however I have done some part of it).
• Nie zrobiłem niczego. = I have not done anything.

If you translate the sentence by Terence "Homo sum, humani nihil a me alienum ❤❤❤❤" (I am human, and nothing of that which is human is alien to me.), in Polish it goes like that: "Człowiekiem jestem i nic co ludzkie, nie jest mi obce."

You may be also interested to listen to prof. Jerzy Bralczyk (he is one of the most known specialists in Polish language, and a very warm person, who explains brilliantly the nuances of the language and replies to many letters that people write to him, asking questions about Polish.)

Or you may look into PWN Language Guide: podwójna negacja

BTW, do you think that playing with negation using antonyms is complicated? Yes, it may be, even for Poles. There are even some badly educated journalist, who want to seem eloquent, but instead they fall into ridiculousness when they say for example "Nie mam jakiejkolwiek wiedzy na ten temat" = I have no undefined knowledge on that subject (what means that the possessed knowledge is rather deep and well defined) - while they should say "Nie mam żadnej wiedzy na ten temat" = I have no knowledge whatsoever on that subject or "Nie mam jakiejkolwiek choćby wiedzy na ten temat" = I have not even slightest knowledge on that subject.

Both are correct. You only need to remember that negation hast to precede the word that it negates (whether it is a verb, noun or adjective - the first is evident, other two are sometimes tricky).

• Jeszcze nie znam tego miejsca - puts a bit more emphasis on "jeszcze".
• Nie znam jeszcze tego miejsca - puts a bit more emphasis on "nie znam".

The difference is subtle, because the strongest emphasis is at the end of the phrase, anyhow - the first word in the phrase is secondary emphasis, so to say. But both the above samples have neutral word order: "the place" is the new information, so belongs to the end of the phrase.

If you really want to make a difference in the emphasis, you should quit the neutral word order and say rather, respectively:

• Nie znam tego miejsca jeszcze - emphasis on "jeszcze".
• Jeszcze tego miejsca nie znam - emphasis on "nie znam".

And of course, a lot depends on intonation...