Not really. Once they are included in a block they are part of the blockchain and can’t be removed.
You can run knots instead of core which will filter the transactions out of the mempool. But that doesn’t stop miners from including the transactions within blocks.
Remember that they are still valid bitcoin transactions. Part of having a permission less network is allowing stuff you don’t like but still follows the consensus rules.
Spam always follows the rules. Strange that I can't filter them because Ocean as I understand it doesn't mine blocks that have ordinals. Also someone made a fork of mempool.space that shows how much of the block is garbage
Ocean doesn’t include them in the blocks that they mine, but other miners do. Once in the blockchain you have to have them or the crypto hashes break because the block has been modified. You can run a pruned node to reduce the amount of data stored.
