No. At least not as it is. If we figure out the masking technique then that might change but because of the nature of this type of cipher, the frequency analysis would be closer to normal plaintext.
(Ah yes, the resource of the lazy: Wikipedia)
In classical cryptography, a permutation cipher is a transposition cipher in which the key is a permutation. To apply a cipher, a random permutation of size e is generated (the larger the value of e the more secure the cipher). The plaintext is then broken into segments of size e and the letters within that segment are permuted according to this key. In theory, any transposition cipher can be viewed as a permutation cipher where e is equal to the length of the plaintext; this is too cumbersome a generalisation to use in actual practice, however.
Because the cipher doesn’t change any of the characters, the ciphertext will have exactly the same letter frequencies as the underlying plaintext. This means that the cipher can in many cases be identified as a transposition by the close similarity of its letter statistics with the letter frequencies of the underlying language.
Because the cipher operates on blocks of size e, the plaintext and the ciphertext have to have a length which is some multiple of e. This causes two weaknesses in the system: first, the plaintext may have to be padded (if the padding is identifiable then part of the key is revealed) and second, information relating to the length of the key is revealed by the length of the ciphertext. To see this, note that if the ciphertext is of length i then e must be one of the divisors of i. With the different possible key sizes different possible permutations are tried to find the permutation which results in the highest number of frequent bigrams and trigrams as found in the underlying language of the plaintext. Trying to find this permutation is essentially the same problem encountered when analysing a columnar transposition cipher: multiple anagramming.
So this isn’t a currently viable method of attack for K4.
Initially I thought it might have interesting applications for the Morse code but it’s nearly impossible to set some block size e, transpose the chunks and get legible/tantalizing phrases. The padding of the Morse phrases made me curious but I don’t see how it would be possible.
So at this point I will discount permutation ciphers in my efforts.