Absolutely otherwise I wouldn't have suggested it
It fits better with the symmetry of the site if it is placed centrally. Everything else here at HC appears to be in the middle of the screen, whereas this search feature looks like an afterthought tacked on the side. If it is possible it would be nicest to have it all on one line with the Web and HC radio buttons on the right of the Search button, but not sure how much is involved in either of these suggestions, and which one is the quickest and easiest for you to do. Also being at top and bottom I for one am more likely to use it.