In the Mateusz Tomaskiewicz interview by YongYea, this question was asked and first the dev said yes; then Yong pointed out the Johnny issue and the dev clarified that the cybermods you get at the prologue (the kiroshi cybereye and the grip) are the only ones that are obligatory. Apparently you have the slot for the mysterious chip already.
ps. I doubt there will be an achievement for it..
Ohh wow.. i never knew/notice those "obligatory" mods.. (no sarcasm) and now i have to many lol..