Rocket sits next to 4 phonetic neighbors — Rocky, Rockett, and Rock are the closest matches by sound. Most share Rocket's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"a fast-moving projectile, symbol of speed and ambition"
"helpful, from Cody's Irish root"
"flowing river, running water"
"possibly twin (via Tavish connection)"
"upright, righteous"
"power of the people"
"maker of cauldrons and cookware"
"boar friend"
"reason, rational thought"
"variant of Karen or Karin"
"place of the winding shore"
"treetop, eloquent speaker"
"venerable, revered"
"from Chester, the walled city"
"God is gracious"
"fragrant spice"
"rose"
"hero of God, man of God"
"true, faithful, trustworthy"
"food, sustenance"
Similar sound: These names share phonetic patterns with Rocket — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Italian rocchetta via English origins, giving them the same cultural heritage as Rocket.
Rhythm: Rocket is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.