No, I don't think so. What you can do is to write just "other" as a normal answer item and via condition or relevance equation you open up a new comment field if the respondent marked the "other" option. This means two questions, but we use this quite a lot. I think it is even cleaner than the approach with the input text box.
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Provide your LS version and where it is installed (own server, uni/employer, SaaS hosting, etc.).
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Note: I answer at this forum in my spare time, I'm not a LimeSurvey GmbH employee.
But that is what I am saying: You can have a text area, if you split it up into two questions, a multiple choice question with an option called "other" (just a normal item, not the actual other option from limesurvey) and then you add a question with "huge text".
Of course, the client might complain that it is a two question approach...
Or you could try to increase the size of the input text via CSS. Not sure if this is working and it won't change anything about the limitation in characters, which I think is 256 for the text input.
Help us to help you!
Provide your LS version and where it is installed (own server, uni/employer, SaaS hosting, etc.).
Always provide a LSS file (not LSQ or LSG).
Note: I answer at this forum in my spare time, I'm not a LimeSurvey GmbH employee.