Can I play Lost Blender if there are no cards left in my deck to draw from?
Yes, you can. Putting cards into the Lost Zone is the main effect, so you can use this even if you have no cards in your deck. However, you cannot play it unless you can put 2 cards from your hand in the Lost Zone.
Source: TPCi Rules Team (2019-01-03), TPCi Rules Team (2019-03-21)

Relevant cards

Note: All applicable cards may not be listed below.
SM8_181
SM8_233