Yes but doing so collapses the wavefunction. Hence there's no way to observe when the wavefunction collapses.

Many (most?) interpretations of quantum mechanics do not involve a "collapse" of the wavefunction. The Copenhagen interpretation, which is the oldest and better known, does, but the many-worlds interpretation (which I dislike), which is favoured by many working in cosmology and quantum gravity, does not involve a collapse of the wavefunction.

By a series of repeated experiments and statistical inference?