As
@square_wave wrote above, if your integrated amp has a provision to bypass its pre and input directly to its power section, you can connect another preamp of your preference (solid state or tube). You can easily check that from the manual or from the ports at the back of your amp.
As for hybrid amplification - tube pre with solid state (SS) power... it’s something I have had for quite some time now (Lyrita DHT pre with Audiolab 8200A power section). I agree with
@drkrack that the result is not predictable. It depends greatly on how well the impedances and gains match between the tube pre and the SS power as well as how their sonic properties synergise. But in general expect the following:
1. More emotional and holographic vocals and mids instruments like saxophone, electric guitar etc. This is why tube interface is so sought after.
2. Quite possibly less definition in the bass (some upper bass bloating which also contributes to 1 above). SS devouts don’t like this, especially if you listen to music with lots of bass content (not volume of bass, but richness/variety).
3. A certain bloom in the sound which some like and some don’t.
Having enjoyed the euphonic hybrid sound in the past, these days I find myself preferring the clearer delivery of integrated solid state.
Please understand that this isn’t a critique on tube amplification. The problems in points 2 and 3 above wouldn’t be faced if you went for an all-tube (pre-power or integrated) amplification with dynamic, high sensitivity speakers. In fact, it’s with those speakers that the tubes are meant to marry with. Most of us have budget speakers which are medium sensitivity with 6 inch woofers which won’t be driven by tube power amp. So we go for the hybrid (with tube pre) is which has its own compromises as mentioned above.
In short, get a tube pre on loan or demo. Listen to variety of music for a week. Then decide if you’d want to go that route.