Will blocks with no transactions still be possible when Ethereum fully transition into PoS?

As far as I know, blocks mined with no transactions are possible because of some reasons such as (source):

No one sent a transaction during that timeframe.
Someone was mining and found a solution before it received any transactions to include in the block. And this solution was picked up by other miners who mined on top of it.

So I'm wondering, when Ethereum fully transaction into PoS will blocks with no transactions still possible?

As a first glance at least the second possibility mentioned above will not be possible because won't exist mining of new blocks anymore, although I'm not sure about that first possibility mentioned.