No. The artistic pursuit I have done in most depth is dancing - primarily pair dancing - and nothing from my programming experience has ever contributed to my creativity in that field, other than funding.
No, to the contrary. It rather drains my ability to paint a picture or to play music. After staring on a screen full of compiler errors for 8 hours, there isn't much left to be joyful or creative.
Yes, actually. I tend to mix the thought process involved with programming into other artistic pursuits. I feel it gives me different perspective.