Technology(i.e. the Matrix) and Magic are opposites in Shadowrun. There are occasional mentions of magical machines in some senses (A working toaster is listed as a viable form to summon a Fire spirit in in Street Magic, 4th ed. and I believe there is a Mystic Adept in a stock adventure who rides a bound spirit of Man that manifests as an old Harley Davidson) and there are certainly non-physical or spiritual things (e.g. technomancy) that are Matrix-intertwined. The closest true magic ever comes to to the matrix, though, is the Analyze Device spell (SR4 Core Rulebook), though before the Runner's Companion errata came out there was a time you could buy both latent Technomancer and latent Magician . That was cool.
Given that you can manipulate metal, electricity, and light with magic you could create a magical machine, but no one in cannon ever has and, really, other than academic curiosity there is no reason to as
1) it would be incredibly difficult, requiring an incredibly skilled and specialized caster with personal knowledge of the inner workings of whatever device you wanted to construct. Technologically literate mages aren't actually that rare, but a mage with the aptitude and ability to personally build and sustain all of the circuitry necessary for computing (or devise, develop, and sustain similar non-electrical circuitry) would be a prime runner indeed. No such person has appeared in cannon.
2) Even if such a device could be created (and caused to connect to the Matrix somehow), it would be inherently worse than even a cheap commlink at every aspect of Matrix interaction other than resisting intrusions AND would suck as a computer as well. Multiple decades of driven, competitive, innovative, and incredibly well-funded research has been and continues to be dedicated to making the Matrix and the devices that run it smaller, faster, cooler, more user-friendly, more potentially secure, and basically better in every way. You are not outdoing that with a prototype in a completely new field. It's possible that augmenting such systems with magic might provide the groundwork for future development to advance the Matrix, but Hermetic research has clearly indicated that magic is not a viable method of improving such technology and Shamanic tradition rejects it out of hand.
So my answer is 'No. Not only have no such machines ever been mentioned in cannon but the existence of such a machine is antithetical to the premise of the magic/technology dichotomy that lies at the heart of Shadowrun'.
Edit: Except for Toxic magic. But that stuff will get you geeked fast, if your lucky. Best not to look into it too much, chummer (unless you're a GM). It still hasn't been done in cannon, but it's a totally consistent idea and could make for a really cool campaign.