No but increasing the number of teams who are all now competing with each other would probably allow us to see progress scaling with the number of teams, not necessarily putting everyone on the same team.
Science discoveries don't just happen because there are more people "competing" to solve a problem. The more likely outcome of what you're saying is that you'd only have more teams competing, sure, but to redo each other's work.
They don't even compete to solve the problem, they compete for funding. People who are better at politics gets more funding, so adding more people could even be net negative with them draining up all the funding from those who do the actual research.
