Does anyone know if zinc supplements and or if E vitamins can deplete your body of vitamin D?

I’ve recently went to the doctor for what I thought was regular joint pain for exercising. It turned out that I have some arthritis and I am very low in vitamin D. So the doctor has put me on vitamin D supplements. I have to bring my levels up. I forgot to mention that I take zinc and vitamin E every other day, so I don’t know if that is what really caused it. I make sure not to take what is considered over the recommended amount. That and I do it only every other day, so I know I’m not over doing it. I like the out doors a lot so I was suprise to find out that my levels where low in D.
Anyhow, I was wondering if I could continue taking my zinc and E while taking vitamin D. I tried to look it up online but I’ve had no luck.