Custom Indicators
Although Apple supports native Activity Indicator now from the SwiftUI 2.0, You can Simply implement your own animations. These are all supported on SwiftUI 1.0. Also it is working in widgets.
Arcs
struct Arcs: View {
    @Binding var isAnimating: Bool
    let count: UInt
    let width: CGFloat
    let spacing: CGFloat
    var body: some View {
        GeometryReader { geometry in
            ForEach(0..<Int(count)) { index in
                item(forIndex: index, in: geometry.size)
                    .rotationEffect(isAnimating ? .degrees(360) : .degrees(0))
                    .animation(
                        Animation.default
                            .speed(Double.random(in: 0.2...0.5))
                            .repeatCount(isAnimating ? .max : 1, autoreverses: false)
                    )
            }
        }
        .aspectRatio(contentMode: .fit)
    }
    private func item(forIndex index: Int, in geometrySize: CGSize) -> some View {
        Group { () -> Path in
            var p = Path()
            p.addArc(center: CGPoint(x: geometrySize.width/2, y: geometrySize.height/2),
                     radius: geometrySize.width/2 - width/2 - CGFloat(index) * (width + spacing),
                     startAngle: .degrees(0),
                     endAngle: .degrees(Double(Int.random(in: 120...300))),
                     clockwise: true)
            return p.strokedPath(.init(lineWidth: width))
        }
        .frame(width: geometrySize.width, height: geometrySize.height)
    }
}
Demo of different variations

Bars
struct Bars: View {
    @Binding var isAnimating: Bool
    let count: UInt
    let spacing: CGFloat
    let cornerRadius: CGFloat
    let scaleRange: ClosedRange<Double>
    let opacityRange: ClosedRange<Double>
    var body: some View {
        GeometryReader { geometry in
            ForEach(0..<Int(count)) { index in
                item(forIndex: index, in: geometry.size)
            }
        }
        .aspectRatio(contentMode: .fit)
    }
    private var scale: CGFloat { CGFloat(isAnimating ? scaleRange.lowerBound : scaleRange.upperBound) }
    private var opacity: Double { isAnimating ? opacityRange.lowerBound : opacityRange.upperBound }
    private func size(count: UInt, geometry: CGSize) -> CGFloat {
        (geometry.width/CGFloat(count)) - (spacing-2)
    }
    private func item(forIndex index: Int, in geometrySize: CGSize) -> some View {
        RoundedRectangle(cornerRadius: cornerRadius,  style: .continuous)
            .frame(width: size(count: count, geometry: geometrySize), height: geometrySize.height)
            .scaleEffect(x: 1, y: scale, anchor: .center)
            .opacity(opacity)
            .animation(
                Animation
                    .default
                    .repeatCount(isAnimating ? .max : 1, autoreverses: true)
                    .delay(Double(index) / Double(count) / 2)
            )
            .offset(x: CGFloat(index) * (size(count: count, geometry: geometrySize) + spacing))
    }
}
Demo of different variations

Blinkers
struct Blinking: View {
    @Binding var isAnimating: Bool
    let count: UInt
    let size: CGFloat
    var body: some View {
        GeometryReader { geometry in
            ForEach(0..<Int(count)) { index in
                item(forIndex: index, in: geometry.size)
                    .frame(width: geometry.size.width, height: geometry.size.height)
            }
        }
        .aspectRatio(contentMode: .fit)
    }
    private func item(forIndex index: Int, in geometrySize: CGSize) -> some View {
        let angle = 2 * CGFloat.pi / CGFloat(count) * CGFloat(index)
        let x = (geometrySize.width/2 - size/2) * cos(angle)
        let y = (geometrySize.height/2 - size/2) * sin(angle)
        return Circle()
            .frame(width: size, height: size)
            .scaleEffect(isAnimating ? 0.5 : 1)
            .opacity(isAnimating ? 0.25 : 1)
            .animation(
                Animation
                    .default
                    .repeatCount(isAnimating ? .max : 1, autoreverses: true)
                    .delay(Double(index) / Double(count) / 2)
            )
            .offset(x: x, y: y)
    }
}
Demo of different variations

For the sake of preventing walls of code, you can find more elegant indicators in this repo hosted on the git.
Note that all these animations have a Binding that MUST toggle to be run.