Thomas Nashe was the first to use the expression potte-luck fifty-one years before pique-nique appeared in a French satire in 1649. He used it twice in 1592: first, in the verse satire Strange News, and second, in the play Summer’s Last Will and Testament. No one remarked on the singularity of the word or the concept, probably because it was familiar to the English. Willian Shakespeare, Nashe’s contemporary, does not use the word or the dining style. In fact, the word is obscure until 1773 when Richard Graves used it in a comic romance, The Spiritual Quixote. Yet the idea had caught on. 
In Strange News, potte-lucke is an insult: “I’ll be your daily Orator to pray that that pure sanguine complexion of yours may never / be famished with potte-lucke that you may taste till your last gasp.” In Summer’s Last Will, potte-lucke is used as we now know it: Bacchus informs Summer not to worry about the coming Fall since the wine will be good: “Faith, shall I tell you no lie, because you are my countryman & so forth, & a good-fellow is a good-fellow though he have never a penny in his purse? We had but even potte-luck; a little to moisten our lips, and no more.”
Though potte-luck and pique-nique involve dining styles, they are not related. Pique-nique refers to the Parisian dining custom of guests sharing costs or contributing to a dinner. Potte-luck refers to the custom of dropping in for dinner and dining on whatever is available. Originally, potlucks depended on happenstance, but contemporary customs are usually planned by guests who bring assigned contributions to a potluck dinner. In our time, potluck and picnic are used interchangeably. But potluck always requires food; picnics do not.
See: Thomas Nashe. Strange News of the Intercepting Certain Letters (1592), and Summer’s Last Will and Testament (1592/1600); The Works of Thomas Nashe. Charles Nicholls. A Cup of News: The Life of Thomas Nashe. London, 1984; Andrew Hatfield. Thomas Nashe’s Dog Days,” Times Literary Supplement. September 26, 2014; Richard Graves. The Spiritual Quixote, vol.3 (1773)