The explanation for what happens to the condo is explained in the movie. Initially it's assumed to be gas explosion, and a sequence shows how this would play out. The gas from his cooker is left on and it's triggered by a spark from the compressor in his refrigerator.
Later it is revealed by police forensics that it was caused by home-made dynamite. Clearly he sets the bomb himself (as Tyler) before going on the business trip. From the script (though this may have been slightly amended in the movie itself):
JACK: Dynamite?
DETECTIVE STERN: Yes. It left a residue of ammonium oxalate and potassium perchloride. Do you know what that means?
JACK: What does that mean?
DETECTIVE STERN: It means it was homemade.
It is possibly a coincidence that his baggage is confiscated for a vibration, or perhaps Tyler added something suspicious but not actually dangerous to his luggage.
If the luggage had contained a bomb, the luggage was under investigation for the vibration. A bomb would have been found and not delivered to the condo, and they would have arrested him.
In the unrealistic event that they delivered the bomb in the bag to the apartment, it's unlikely that the bag would have got there before him from the airport, and who would let it into the condo?
He continued to be in contact with the police about the circumstances of the explosion, but he wasn't arrested, which he surely would have been if they had found a bomb.
I think we can safely assume that the luggage would eventually have been delivered to him, I just don't think its mentioned in the movie at all (but I could be wrong about that).
The whole thing is clearly engineered by Tyler to force his relocation to Paper Street. Force him to be homeless and possibly even without luggage.