No. You have limited the meaning of this sentence to one aspect of the word "follow." Without a context there is no way you can argue for one of the most contrived meanings of follow. Additionally, "chase" is not even a translation of the verb "seguire."
There is something stuck in your brain from a colloquial expression that fixates your understanding that cats, when following a mouse, can only be chasing it. This is poor form.
You are not listening to what it trying to be conveyed. Develop the skill of listening to help you with languages and life, otherwise neither will go well for you.
The colloquial expression is in both languages: I would never say "Il gatto rincorre il topo." or "Il gatto insegue il topo." to put across the same meaning as "The cat chases the mouse." even though the literal translation of "chase" is "rincorrere." That particular phrase is cliche in both languages and are said slightly different. Don't get hung up on literal translations and focus on how native speakers really speak. You will always sound weird to any native if you focus on translating word-by-word versus sentence-by-sentence.
@concifuriram : you may be right in the context of translating a book where this sentence would actually mean that the cat is chasing the mouse. However, without the context, better not interpret anything, as you may be "interpreting" rather than "translating". "Seguire" is "follow", not chase. I'm not fluent in Italian, but when checking wordreference.com, "chase" is "inseguire", with a perfectly clear example: The dogs chased the rabbit. I cani hanno inseguito il coniglio. Back to our sentence, who knows if we're not speaking about Tom, following Jerry while they both hunt something/someone else? I found that sticking to the strict sense of the original sentence is valid everywhere in Duolingo, and I believe it is also valid in doing translations in general, unless you're "adapting" a book into another language, rather than "translating" it (some translators have the gift of interpreting and render in another language the atmosphere which was intended in the original language, or even better adapt that atmosphere to their own reader's culture - but that's another subject, and certainly not what we're doing in Duolingo). I was frustrated at first as some of my interpretations were rejected as well, but I got the point and try to translate more literally now (still keeping it grammatically correct), it saves me a lot from frustration. :)
Christopher, I don't think he needs you to tell him, his life won't be going fine unless he listens to you. And I gotta say that your English is poor and your logic worse. You must be politically very left not to know (or admit) that the cat which is following the mouse is chasing it.
Hello Carlos112393, do you mean "The cat follows to the mouse"? Sorry, that is not good English. "The cat follows the mouse" is good English.
In English, if you use an object after "follow", it should be the direct object, without "to". I think it's different in other languages. You could say "The cat follows the mouse to the hole/to the restaurant/to Italy".
What can be confusing is that we use "follow" quite a lot when we are talking about writing, and then we often use the passive, so you may have seen the different word order, and words like "by". The introduction is followed by the conclusion. That's passive. The introduction was first.