Hi Jeff,
can it be done? yes.
but it would take a bit of JavaScript effort, and (frankly) I wouldn't do it because at some point in the future you'll want the more space on the other tabs, and you'll need to change the code for that.
It's do'able, but frankly I don't think it's necessary - or worth the effort - and indeed may be quite jarring as you change tabs...
cheers
Bruce