Hi Ceckus and welcome,
Logically it should be straight forward to put the RHD chassis under your truck but you may have to drill a few new holes - e.g. for the steering box.
I can't see any other problems, although I have never done it, because the only area when ordering parts that request RHD or LHD is on steering components so if there were other changes then that would be needed when buying replacement bits.
It is probably worth checking out one of the detailed parts suppliers listings before finally committing to the new chassis, just to be sure.
Hope that helps.
Regards,
Rodger