Can a claim be accepted that some verses of the Qur'an will be erased and removed? Are there any noble hadiths indicating this? And what is the meaning of the رفع (lifting/raising) of Quranic verses at the end of time?

There is no evidence for the removal of verses from the Quran at the end of time; rather, what is narrated is the complete removal of the entire Quran. What indicates the impossibility of accepting this claim is that no one has observed any erasure or removal of anything from the existing copies of the Quran.