You can get drill chucks that will hold up to an inch diameter bits. But the bigger the holding size the larger the chuck, I have a 3/4" that will almost fill the bed of a Jet mini, by the time you use the larger Jacobs chuck, the 4 jaw chuck and the piece of wood you will need a larger that a mini lathe. I have a 40" bed on my old Delta and with the both chucks, the drill bit and wood it takes almost all of it to get a hole drilled.
Go to Beaver Drill and Tool Supply
http://www.beaverdrill.com/ Look for Silver Deming drill bits that have the reduced sized shanks, the come in all of the sizes you will need.