You certainly can use a Distribution amp and a Preamp together in the same antenna system. However, they must be installed so that they both receive power. If the Distribution Amp is installed between the Preamp, and the Preamps power source, the Distribution Amp will block the voltage that needs to get to the Preamp. This would result in 'no signal'.
There can be many configurations so we will not be able to address every possible system configuration. In a nut shell, this sequence description below is how the components would be connected in a simplified installation. (For reference, please see the attached diagrams at the bottom of this article.)
Antenna connected with a short cable to the Preamp 'Input'>Preamp 'Output' connected to its Power Inserter 'Input' or 'Out to AMP' port>Power inserter 'TO TV' port, connected to Distribution Amp RF 'Input' port>Distribution Amp 'Power IN' port, to its power adapter.
Some Distribution amps also have a Power Inserter option. A power inserter can be connected to one of the Distribution Amp 'Output' ports, that is also labeled 'Power In'.
If you have one of the Antennas with a built in Preamp, it would be connected as described above. However, the Preamp power inserter/power supply is generally connected behind one of your TV's. That can be a little trickier. You'd have to connect the Preamp Power inserter 'TO TV' port, to a cable that goes back into your system to the location where your Distribution Amp is located. This would be at the demarcation point where all of your Coax Cable ends are accessible. (Where all of the cable 'Home Runs' come together.)
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