If they are both authorized to your AppleID (which a work-owned computer might not be) you can, easily.
Downloading (using iOS or computer) past purchases from the App Store, iBookstore, and iTunes Store - http://support.apple.com/kb/ht2519 - enabled with iTunes 10.3 and newer; not all media formats are available in all countries (see: iTunes in the Cloud and iTunes Match Availability by Country - http://support.apple.com/kb/HT5085); apps, books (not audiobooks), music, t.v. shows, and movies (some - not all studios have permitted this). Downloading previously purchased movies and TV shows requires iTunes 10.6 or later. Discontinued items not available. For items not included in the iCloud list (e.g., ringtones, audiobooks), or locations or computer systems where iCloud is not (yet?) available, you only get one download per fee paid. Apple notes it is your responsibility to back up your purchases.
Select the iTunes Store on the left side of iTunes.
Click on Purchased on the right side under Quick Links.
You can re-download your available previous purchases.
If they are not authorized then you might have limited success with hand-copying files to a flash drive. Supposedly DRM has been removed from music files and they do not need authorization, but movies would need for you to authorize the computer. Can I Put Multiple iTunes Accounts on My iPhone? - http://techtips.salon.com/can-put-multiple-itunes-accounts-iphone-3518.html
Thanks.. this seems to be working... but taking quite a bit of time.
Another question: Can I transfer certain iphoto folders from my main imac to my work macbook in a similar manner? I do have homesharing if that helps at all. But I would actually like to download pictures so that i have them with me on the macbook.