"construct for" is correct and usable in written English.
You can use it when you want to talk about creating something for a specific purpose. For example: "We need to construct a plan for success."
He has also managed to construct for himself a benign, neutral presence in the media.
Mussolini built the Foro Italico for precisely that purpose — to construct, for his regime, a heritage.
What new meaning can they construct for themselves among the rubble?
"We asked them: 'Why are you destroying what you say you want to construct for the poor,' " he recalled.
Yet Thomsen can't construct for himself a "self-sufficient inner life; and this was perhaps the great national failure".
The careful decorum we construct for ourselves — grown-up civilian riders of the underground train — simply dissolves.
Clarke's portrait of Jahar Tsarnaev was reminiscent, in some ways, of the one she helped construct for Zacarias Moussaoui.
We also construct, for each language, a vocabulary of over one million recognizable words.
Garrison and Akyol (2015) developed a metacognition construct for CoI.
The optimal construct for segmental stability remains unknown.
We have a temporary construct for taxation and asset value recognition.
