The Verdict: Unlikely
Your income is below the €1,477.93 a month the visitor card needs, so this route is a long shot for now. A raise that takes you over the line changes the answer.
The visitor card is the route French officials point remote workers to. It needs resources of at least the net minimum wage. Savings can strengthen a file and a partner's income can be counted with yours, but social benefits do not count.
If you would work for French clients or a French employer instead, our skilled migration and golden visa quizzes cover the work and business permits.