It's not very likely.

USC students just broke the non-government, non-corporate rocket launch altitude record, reaching 143.25km[1]. But that is still a long way from the ~500km that Starlink operates at.

On top of that the person would have to develop a guidance system and payload capable of targeting and sufficiently damaging one of these satellites - not an easy feat.

Finally, it seems unlikely that a single hit would cause a chain reaction. There aren't that many satellites that are part of Starlink. Imagine 6000 cars spread over the surface of the Earth. Except that they're even more sparse than that because many of them are at different altitudes.

Additionally, SpaceX has already had to deal with the result of the debris field from the Russian Cosmos satellite that was destroyed by a Russian anti-satellite missile.[2]

Starlink has a lot of protection compared to other constellations since the satellites occupy such low orbits that most debris spontaneously deorbits in 5-10 years.

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1. https://viterbischool.usc.edu/news/2024/11/usc-student-rocke...

2. https://spacenews.com/starlink-satellites-encounter-russian-...

Height is not the issue, you need to reach near orbital velocity, which is much harder.