No matter your party or beliefs, shouldn't Trump be stopped from pushing through a Supreme Court Justice in less than a week of the death of Ruth Ginsburg?

Shouldn’t a Supreme Court Justice be fully vetted since this is a very powerful position that is a lifetime appointment? Trump has had more turnover’s in his cabinet in his first term in office than any other president. Does this make you fearful of anyone he will be pushing through next week? Does this make you feel that he has not fully vetted people he appoints to high offices?