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I would never say that.
The site you linked to also reads "Do you have problems to express your ideas in English?"
Using a full infinitive after "have problems" sounds extremely strange to me. I would use the gerund, expressing, instead.
Do you have problems expressing your ideas in English?
In short, a large vocabulary ...
In short, an extensive vocabulary ...
You'll find many more hits on the internet (which we hear is not a good meter) using 'large vocabulary', 'extensive vocabulary' and 'problems expressing your ideas'. In fact, almost all hits on 'problems to express your ideas' come from the same author.
Perhaps this is regional usage, but the site you linked to is precisely the region where I lived for 12 years and I know I never heard anyone use these odd locutions.
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