If Tammy Baldwin were to run for the Senate seat vacated by Herb Kohl, could she simultaneously run for reelection to her House seat?

You know, like the way Joe Biden ran for Vice President and for reelection to his Senate seat in 2008 (and then resigned the Senate seat). The answer is: no.

ADDED: I've reworded the title to this post because somebody in the comments found it ambiguous.