Yes actually you can Joe,
Edit the LESS file under your similar path of :
C:\openrefine-win-2.7\openrefine-2.7\webapp\modules\core\styles\views\data-table-view.less
Edit .less file (its a preprocessed compacted CSS basically) in several areas to your hearts content (make a copy / backup before you start hacking ) :)
You'll want to add and hardcode something the
width: 100px;
or whatever works for you.
The main elements to start with would be
column-header
div.data-table-cell-content
div.data-table-cell-content-numeric
And others that I probably forgot, but you can experiment in Firefox or Chrome by just hovering over the elements on the data grid and right click and INSPECT ELEMENT on the browsers context menu.
There are a few other ways, like some of the files under
C:\openrefine-win-2.7\openrefine-2.7\webapp\modules\core\scripts\views\data-table
and in Jquery scripts itself, etc. maybe others that I am forgetting since its been so long, but the .less file is probably the easiest for you to start with quickly to get what you want.
You are now an official web developer :)
A final way to to get others to help by hacking on this by customizing the HTML and .JS and .LESS files and then zipping up the OpenRefine scripts and styles folder and sending it your way for you to overwrite your folders. :)