In terms of actual fitting, yes, the Optimization Toolbox can fit all the same functions, and more. However, the Curve Fitting Toolbox also contains code routines for post-analysis of the fit (like goodness of fit measures and confidence intervals on the parameters) that are not available in the Optimization Toolbox, so you would have to code that yourself. In my experience, that is the sacrifice that most people trying to replace the Curve Fitting Toolbox with the Optimization Toolbox find inconvenient.
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