Can I also start filing a petition for my fiancé in the Philippines while in process with my mother?

A U.S. citizen indeed may travel abroad for a vacation while his/her petition for a parent is pending. A U.S. citizen also may file a fiance visa application while also filing an application for a parent. Some immigration law firms, including mine, offer legal services on a "flat fee" basis so that a client will know the total expense from the very beginning, and a few immigration law firms, including mine, offer an initial consultation free of charge.