In the first question - if you are asking if you can amplify the signals received by an antenna the answer is yes and it is called a pre-amplifier. If you want to increase the power going out of the antenna then Nigel's answers apply.
I used this little pre-amp in a 900MHZ analog mic project, and it more than doubled the range. It has a +20dB gain and a gain flatness of +-2dB from 100MHZ to 2GHZ, so it should work well with 433MHZ.
Although I'm not sure exactly how impedance matching works in regards to antennas and rx/tx, it has a 50 ohm input and output.
It's about $10 on digikey. and best of all, it can't get much simpler!