Can one conduct “novel” research without an advanced laboratory? Has it been done by school pupils?
I can point to two published papers in which students performed useful experiments.

The present study (on the vision of bumble-bees) goes even further, since it was not only performed outside my laboratory (in a Norman church in the southwest of England), but the ‘games’ were themselves devised in collaboration with 25 8- to 10-year-old children. ... They also drew the figures (in coloured pencil) and wrote the paper.
Principal finding ‘We discovered that bumble-bees can use a combination of colour and spatial relationships in deciding which colour of flower to forage from. We also discovered that science is cool and fun because you get to do stuff that no one has ever done before. (Children from Blackawton)’.

--Blackawton bees

As part of a high school class project, influenza sequences with possible errors were identified in the public databases based on the size of the gene being longer than expected, with the hypothesis that these sequences would have an error. Students contacted sequence submitters alerting them of the possible sequence issue(s) and requested they the suspect sequence(s) be correct as appropriate.

--Sequencing artifacts in the type A influenza databases and attempts to correct them
You'll notice that both of these projects were guided by &quot;professional&quot; scientists. The biggest problem with doing your own experiments is that you're very likely to simply repeat something that's already done, or else do something that's not useful or is trivial. It's very difficult even for professional scientists to have a reasonable grasp of even a very focused field of science, and for someone outside the field to try to understand what has and hasn't been done, and what is and isn't considered interesting, is nearly impossible.