Simple version is no.  There is no such thing as a "fake" block.  Either the block is valid or it is invalid.  An attacker could broadcast invalid blocks on the network, however it is trivial to validate a block.  The average CPU can validate a block in a fraction of a second so it isn't much of an attack.  No miner is going to build upon a block until they validate it.  If the block doesn't validate it will be discarded.