I was recently flying my rc helicopter and I would sometimes turn it around and move it forward and sometimes I lost control of the helicopter while doing that a few times and crashed it everywhere (accidently crashed it into my poor cat). Every time I fly this helicopter it randomly starts turning to the left uncontrollably. Also I have had where I kept the thrust at the same level and then I would fly it into a different room and it would start raising in altitude uncontrollably. So can a helicopter or aircraft fly into its own wake and was it the wake of the helicopter that caused these problems with my helicopter?
Helicopters are not easy to fly - whether full-scale manned aircraft or RC models. I would bet that your issues are more related to pilot error than any fault of the machine (other than the fact that it is a helicopter, and inherently unstable).
That said, almost any aircraft can be maneuvered in such a way as to encounter its own wake, and the helicopter is no exception. In fact it's much easier do to this in a helicopter than in a fixed-wing aircraft: A condition known as "settling with power" (or "vortex ring state") can occur when a helicopter descends into its own rotor wash, e.g. by descending directly vertically in calm air. The results of such an encounter can be "unpleasant" - a number of helicopter accidents have been attributed to this sort of encounter.
I've certainly run into my own wake turbulence when doing steep turns in a Cessna 172. In fact, it's the mark of a well-executed 360 degree steep turn that you do feel the bump of running over your own wake after coming full around. :-)