You can turn without a chuck. Teknatool made the first woodturning scroll chuck in ‘88 so lots of stuff was turned for hundreds of years without one.
I am assuming with a faceplate you part off a waste block at the end or live with the screw holes.
That said, they do make it much easier/enjoyable to me. I have four Novas and the G3 will meet any requirements for a 12” lathe. There are other good chucks also. The G3 is available from their service center (reconditioned with warranty) for $75 (probably about $105 with insert and shipping) or on the bay for $125 new including insert of your choice and shipping.
They who can give up essential liberty to obtain a little temporary safety, deserve neither liberty nor safety. Benjamin Franklin