Yes, they can, but first, let me ask, are you diagnosed with tachy/brady-syndrome, or do you assume that from the major increase in heart rate when standing up, etc?
Orthostatic tachycardia/hypotension is usually caused by an autonomic dysfunction/dysregulation, as you mentioned. Tachy/brady-syndrome is also known as sinus node dysfunction or "sick sinus" syndrome, and may have two causes; 1) dysfunctions in autonomic input on the sinus node, or 2) diseases in the sinus node itself. The last one is most common with higher age.
If you have high-degree AV dissociation at night (third degree AV block) I thought a pacemaker was necessary. I can't really see the downside of having a pacemaker if it's necessary, as you will get a guaranteed minimum heart rate of say 50-60 bpm, so the tachycardia will be safe to treat with beta blockers, and so, that is gone too. That will probably also take care of your labile blood pressure?
Short answer: Yes, they can coexist. No, they don't necessarily have to. Ask your cardiologist what the best treatment option is.
Someone posted on here last week about trying a procedure where they did something to the nerves heading to the heart. I don't know if they were cut or temporarily disable in some way. This modified the signals in some to the heart from the central nervous system. As you sound aware, CNS is what's affected in dysautonomia.
This person was suffering from tachycardia. She was days away from ablating her sinus node which would mean permanent dependence on a pacemaker. Her doctor decided to give this procedure a try and she reported good result so far.
This isn't exactly what you are suffering from, but the treatment options sound very similar.
here's the post
http://www.medhelp.org/posts/Heart-Rhythm/Anyone-had-a-nerve-block-for-Tachycardia/show/1686184#post_7838062