One of the reasons a Honda Accord with an automatic transmission may not shift out of first is there is not enough transmission fluid. The more likely reason is that the transmission has something broken in it and needs to be serviced or replaced.
Yes, that is possible. But you would need a donor car in order to have all the parts necessary. Otherwise the cost of doing this would be astronomical. My advice is to sell the Honda with an automatic transmission and buy a Honda with a manual transmission.