Maybe. Unfortunately we aren't able to guarantee Linux support; Only Windows at the moment, but there may be workarounds.
I am an ubuntu user myself and have seen success running early tests using WINE (http://www.winehq.org/download/ubuntu) WINE stands for Wine Is Not an Emulator. But it behaves pretty much like a windows emulator. The major issues we are encountering is that WINE does not have the fonts used by RMXP and it also does not want to play any audio not in WAV format. This may be unavoidable, we would like to attempt to resolve it, though its unlikely we will find time before the release. At the moment users can enable mp3 and midi support themselves with a few simple packages and scripts. So while I can't guarantee it will work, I would be confident enough to try myself as long as you are using a 32-bit version and are willing to play with WINE...but it's admittedly difficult.
One possibility we have seen conflicting reports regarding is to create a version of the game embedded with a ready-to-go WINE box (no pun intended). Similiar to what http://gog.com/ has done with dosbox. It's all speculative at this point though, its hard to do and the wizards capable of making it look easy are expensive. Pursuing Linux/mac/iOS/xbox support is not a top priority for us at the moment and is unlikely to occur before the Windows release.
And in worst case scenario, you try to get it going in WINE and find that it is unplayable, we will give you a full refund.
TL;DR No, but you might get it to work in WINE.