Not anymore. Bitcoin now requires dedicated hardware (ASICs). Other coins were designed to make use of ASICs impossible or impractical, requiring GPUs, but those still require a CPU to drive them.
New developments, such as Ethereum moving away from proof of work to proof of stake made GPUs unnecessary, but you still need a computer with a CPU to validate the blocks on the block-chain.
Edit: Even with ASICs mining bitcoin, you still need servers to distribute the work to them.
And my bow.