Yes, you can use a "preamplifier" (likely a LNA?), as a PA, albeit with low output power and low efficiency. (LNAs and pre-amplifiers are generally biased for linear operation and also have wider bandwidths).
I'd highly suggest using a spectrum analyzer and/or power meter in order to measure the output power and if there are any/many out-of-band signals output from the existing transmitter, so that you can choose an amplifier with the proper gain & output power.
If your amplifier is too non-linear (and has wide-enough bandwidth), it'll easily transmit at multiples of the carrier frequency. These would need to be filtered out before the antenna (or a lower bandwidth amplifier chosen).
If the power is too high to be the PA's input, you'll need to add an attenuator on its input to get the signal at the proper level for the LNA. If the PA's output power is too high, you'll need to add an attenuator between it and the antenna.
Your preamp may (or might not) be more prone to reliability problems or oscillations with mismatched sources/loads.
I can't say too much more without design specifics. What module is your transmitter? What amplifier are you planning to use? What sort of antenna? Is everything 50-ohm matched?
And, as always, please keep transmit powers to legal levels.