Earlier quoted context omitted.
Yes there are. Even without invoking any philosophical issues, quantum mechanics admits it's not self-contained. It takes measurement - the act of an outsider interacting with a system, which collapses the wavefunction, as a postulate. Measurement is not described by quantum mechanics.
No, there is not. The Everett aka many-worlds interpretation demonstrates that you can explain the observed effects of measurement without invoking "collapse" of the wave function, and without reference to anything outside of QM.
The two most promising ideas (IMO) are the idea that the "wave function collapse" is a non-physical event describing a change in our knowledge, the quantum informatics approach as per Philip Ball's recent RI lecture,[1] and the "Relational" interpretation[2] which observes that a measurement always entangles the measuring system with the measured system, and is best treated as such - i.e. as an entanglement relationship; though it seems that this leads to an "entanglements all the way down" view in which these relationships are the ultimate physical reality, rather than the conventional picture of the relationships being secondary to the things which are so related.
The "measurement as entanglement" view is, I know, notably supported by at least one HN poster[3], who I hope will be on hand to correct my no-doubt erroneous rendition :)
1: https://www.youtube.com/watch?v=q7v5NtV8v6I
2: https://en.wikipedia.org/wiki/Relational_quantum_mechanics