Girls Requesting to Connect on LinkedIn = Matching on Tinder?

Hey monkeys, so currently I'm in an Top 5 undergrad b-school (think Wharton/Ross/Kelley/Haas/Dyson/Stern) and this absolute SMOKESHOW (think 9.5/10 redhead with green eyes) who's in some of my lectures has request to connect with me on LinkedIn.

I could only reasonably conclude that she clicked on my profile, entranced by my dashing looks on my profile picture in a navy Hugo Boss suit and Hermes tie, saw my internships at an UMM PE shop and BB M&A team and decided that she wanted to date me, thus clicking "Connect".

Does this mean this is her way of "shooting her shot", equivalent to liking somebody's story on Instagram, adding them to your private story on Snapchat or swiping right on Tinder? I don't think it's too much of a stretch to assume that business students would want to "shoot their shot" in a more professional way on a more professional platform. I really want to date this smokeshow because she has a really hot body and nice full lips.

Is it acceptable to slide into her LinkedIn messages with a sweet, non-sexual pickup line?

For context, she's a junior who took a gap year (turning 22 in February) and I'm a sophomore (currently 19).