Pulling fire alarm during college finals exams
Yes you can, check out Por-a-mold on Dick Blick's site. Also some local art supplies stores carry both silicon mold kits clear resins. Expect a huge mess, but you can do it.
Automotive windshield repair shops use this resin all the time, so that is the best place to start your search - ask for directions too, especially how to mold the resin edges. Their solutions almost flow on, so getting a matching edge to the rest of the tabletop will be the hardest part to do. You can use a dremel-style sander to grind the edges better once the resin has cured. Let the tool do the work for you - don't push too hard.