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English word staycation comes from English stay, English vacation
stay (English)
(archaic) A fastening for a garment; a hook; a clasp; anything to hang another thing on.. (archaic) A standstill; a state of rest; entire cessation of motion or progress.. (nautical) A station or fixed anchorage for vessels.. (obsolete) Hindrance; let; check.. A fixed state; fixedness; stability; permanence.. A piece of stiff material, such as plastic or whalebone, used to stiffen a piece of [...]
vacation (English)
(North America) A holiday; a stretch of leisure time away from work or duty and devoted to rest or pleasure. [from 19th c.]. (US, legal) The act of making legally void.. (obsolete) Free time given over to a specific purpose; occupation, activity. [15th-17th c.]. A period during which official activity or business is formally suspended; an official holiday from university, law courts etc. [...]
staycation (English)
(neologism, intransitive) To spend a vacation close to home. (neologism) A vacation spent close to home.