You can link directly to it, but it won't be very specific if there are 3 items in the row, it'll just put that row at the top of the page on load. The way you do it is as follows:
In your row where the pic is (in your example 2nd row, 3rd column) you'll have to anchor the image. So use this HTML:
Code:
<a name="pic2ndrow3rdcolumn"><img src="blah/blah/blah.jpg" alt="blah"></a>
You could wrap just the header of the field or whatever, but that is the anchor the browser will jump to. Now in your link on Twitter, you'll do this:
Code:
Hey guys, check out url/pagewithtable.html#pic2ndrow3rdcolumn
That will cause the browser to load the HTML and then jump to that anchor tag.