Yes. You can grow hosta fairly easily from seed. Ventricosa is one that will readily provide volunteers year after year.
However, if you are interested in growing a particular variety, most Hostas do not come true from seed. From any hosta seeds you plant you will get a mix of solid colored seedlings. Most will be green, some will possibly be various shades of gold and possibly some blue.
If you are interested in getting multi-colored seedlings you need to look into getting a streaked plant to use as a pod parent. That will not guarantee streaked seedlings but it will increase the chances tat you will get one.
Entered by caliloo