The thing is, kiken is pretty much just another way of spelling kick (it has an old infinitive suffix -en that isn't used anymore, but that regularly occurred at the end of infinitives in Middle English). So saying kick is from Middle English kiken doesn't explain much about its etymology: the origin of its form and meaning. The dictionaries that say the origin is unknown aren't saying that there have been absolutely no known changes in its use, pronunciation and spelling over time: they're saying that we don't know of any significant developments within English that led up to the word's current form and meaning, and we don't know the origins of this word outside of English.
The earliest OED example is from what is estimated to be around 1386, from some manuscript of Chaucer's Wife of Bath's Tale:
Ther is noon of vs alle If any wight wol clawe vs on the galle That we nel kike [v.r. kyke].
I don't know enough Middle English to give a competent translation*, but the OED classifies this beneath the defintion " a. intr. To strike out with the foot." You can see that this is quite close to the meaning in your sentence, aside from the fact that your sentence uses "kick" as a transitive verb.
The first OED example for the transitive use of the verb is from 1598, but using a verb as transitive vs. intransitive is not a big shift in the meaning.
*Laurel linked to a translation/edited version by Laing Purves that gives the meaning as follows:
For truly there is none among us all,
If any wight will *claw us on the gall,* *see note <8>*
That will not kick...
8. Claw us on the gall: Scratch us on the sore place.