It possible that my misaligned bite is giving me sleep apnea?

Not directly: A 'misalignment' of the upper and lower teeth can have an underlying relationship to issues with airway development when we are young. The nasal and pharyngeal airway are the most important issues in determining whether or not a person may have 'obstructive' sleep apnea. Another form of sleep apnea is 'central' and is related to the respiratory centers in the brain.

Y: Two bite problems that can contribute to sleep apnea are an underdeveloped lower jaw and/or a narrow upper jaw where the back teeth are in what is called a crossbite. A crossbite is where the upper back overlap the lower teeth on the tongue side instead of the cheek side. This contributes to narrowing the nasal airway. This is one reason bite problems should be corrected when young.