OK, let me try to break this down for you. I am assuming that you are making reference to Song of Songs 5:16. That text reads, "חִכּוֹ֙ מַֽמְתַקִּ֔ים וְכֻלּ֖וֹ מַחֲמַדִּ֑ים" khiko mamtakim, vkhulo makhamadim. This means "his mouth is sweet and he is completely delightful." You can choose to understand the phrases any way you want but the operative word is "makhamadim." It is a Hebrew word. Here is the etymology, from the 3 letter root kh-m-d
Aram.
חֲמַד (= he desired), Ugar.
ḥmd (= to be pleasant), Arab.
ḥamida (= he praised)
Is this a word upon which the name Muhamed is based? Probably -- lots of names come from biblical words. The name "Baruch" (bless) is a biblical word. The name Simcha (joy) is a biblical word. Why does the existence of a word which lends itself to a name mean that the text is referencing a specific person who has that name? My name is found explicitly in the biblical text so is the text talking about me?
Makes no sense as a conclusion to draw.