It's unlikely, but possible.
EDIT: With computer problems like this, if you don't have any spare parts to test then your only real option is to replace stuff one by one. Since you already have a pretty solid inclination that it is the RAM, just replace that and see what happens.
Although, before you replace your RAM, can you list your PC specs? I just thought of something. Some RAM requires higher than stock voltages, and most motherboards default to 1.8V or something for RAM. If you have some high performance stuff that requires like 2.0-2.1V, then it will be very unstable at 1.8V.
So, post up your specs.
EDIT: With computer problems like this, if you don't have any spare parts to test then your only real option is to replace stuff one by one. Since you already have a pretty solid inclination that it is the RAM, just replace that and see what happens.
Although, before you replace your RAM, can you list your PC specs? I just thought of something. Some RAM requires higher than stock voltages, and most motherboards default to 1.8V or something for RAM. If you have some high performance stuff that requires like 2.0-2.1V, then it will be very unstable at 1.8V.
So, post up your specs.