you 做整个句子主语
may be 是系动词谓语
不定式“to luck out in the local cafe 做表语
by acting on the impulse to stop and talk to that stranger on the street whose glance at you caught 是一个与上述不定式的并列表语
as you are by clicking away with a mouse and hoping that,one day,Cupid's arrow will stricke 做整个句子的方式状语从句.
译文：正如你点击鼠标,希望有一天丘比特之箭会向你射来一样,你可能会出去到当地的咖啡厅碰碰运气,或者你会凭一时冲动,在街上拦下一个入你眼帘的陌生人,并和他/她交谈.
（言外之意：正如你可以通过浏览约会网站来寻觅爱情,你也可以咖啡厅或街头邂逅爱情）