I did a bit of messing about with this in the past and in short, no. The Scart to VGA adaptors use the RGB lines in the scart cable which are not the same as the composite signal line. The composite to Scart adaptors use the composite lines. Therefore using that kind of setup would result in no signal to the monitor, unfortunately. I believe there are boxes of electronics that exist to convert composite signals to RGB signals that are compatible with VGA monitors, however they are generally expensive and hard to find.

Sadly composite monitors don't appear on eBay very much as most people threw them out long ago or don't consider them worth selling. However, keep a look out and you may strike lucky.