No. The suspensions are entirely different. Even the different 4 lug hubs need trailing arm swaps to fit... and you're not going to make a Prelude rear trailing arm fit your Integra.

The front... maybe, but the Prelude is based on the Accord platform, not the Civic platform. The suspensions do not use the same geometry.

If you worked out a custom solution your aftermarket suspension wouldn't fit. And it won't fit with a 5 lug swap either, the shocks mount differently. Plus you could forget about ever getting front or rear sway bars, because it would involve more than just lug swaps.