To check if your processor in your laptop can be upgraded, the answer is no. It is soldered to the motherboard.
Regarding the Intel Compute Stick, no they do not increase the CPU speed, and are a complete computer system, and are not compatible with your laptop. The Intel Compute Stick only requires a monitor or TV with an HDMI port to output its graphics/video to.
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Please check the input posted above, this provides concise answer to you inquiry. I would also add that regarding processors compatibility for your computer model you may want to contact Acer, this because they should be able to provide more helpful information if the upgrade is possible, and also provide the list of compatible processors.
For more information on the Intel® Compute Stick visit; User Guide for Intel® Compute Stick. This guide is for the model STK2m3W64CC.