The alternative here is "I wonder if ...", and that is fine and clear to use here. But if you use "I was wondering if ...", that's a little bit more tentative and thus more polite. It suggests less of a demand in the present, because technically the past continuous leaves open whether the wondering is active at the present time or not.

From the Internet> Sometimes we use a past verb form when we refer to present time, in order to be more polite or less direct. We often do this with verbs such as hope, think, want and wonder. The verb may be in the past simple, or, for extra politeness, in the past continuous: I was hoping you had it. (less direct than I hope you have it.)