skip vs skip over

skip is a noun but skip over is not a noun.

Word	Noun	Adjective	Verb	Adverb
skip	Yes	No	Yes	No
skip over	No	No	Yes	No

As verbs, skip and skip over are synonyms defined as:

Other synonyms of skip include jump, pass over.

skip (noun)	skip over (noun)
a mistake resulting from neglect
a gait in which steps and hops alternate

skip (verb)	skip over (verb)
bypass	bypass
cause to skip over a surface
jump lightly
leave suddenly
bound off one point after another
intentionally fail to attend