Yes. You can have both live and silent auction items included in the same auction page.
For an online auction, you have the option of showing live items, but excluding them from bidding, or hiding the live items from view. See this article for more information about exclusion options for online auctions. https://support.donorview.com/en/support/solutions/articles/9000237086-can-you-hide-an-auction-item-from-online-bidding-
For all auctions, you also have categories available when creating or editing an auction item. These categories can be used to identify the type of item, like jewelry or memorabilia, or whether they are Live or Silent items.