Can the server ban me for this?

Question

Parsing

I do not know what tags to indicate in the question, but still.
If I parse a bunch of pages on a large site and save links to images from these pages, there are a lot of pictures (> 1000), and then when displaying them on another site, I will indicate a link to them in the img tag.
For example, I got the link "site.ru/img/img1.png", inserted it into the img tag and there will be a lot of such tags, is it possible that the server will pay attention to the fact that some smart guy made a request for 1000 of their pictures? And if from one ip I will make such a request during the day 20-30 times?