Does Glide have a method for loading both PNG and SVG?

You can use Glide & AndroidSVG together to achieve your goal.

There is sample from Glide for SVG.Sample Example

Setup RequestBuilder

requestBuilder = Glide.with(mActivity)
    .using(Glide.buildStreamModelLoader(Uri.class, mActivity), InputStream.class)
    .from(Uri.class)
    .as(SVG.class)
    .transcode(new SvgDrawableTranscoder(), PictureDrawable.class)
    .sourceEncoder(new StreamEncoder())
    .cacheDecoder(new FileToStreamDecoder<SVG>(new SvgDecoder()))
    .decoder(new SvgDecoder())
    .placeholder(R.drawable.ic_facebook)
    .error(R.drawable.ic_web)
    .animate(android.R.anim.fade_in)
    .listener(new SvgSoftwareLayerSetter<Uri>());

Use RequestBuilder with uri

Uri uri = Uri.parse("http://upload.wikimedia.org/wikipedia/commons/e/e8/Svg_example3.svg");
requestBuilder
    .diskCacheStrategy(DiskCacheStrategy.SOURCE)
    // SVG cannot be serialized so it's not worth to cache it
    .load(uri)
    .into(mImageView);

This way you can achieve your goal. I hope this is helpful.

I added a flexible decoding pipeline to decode an image or SVG, maybe can help! based on glide SVG example

Decoder

class SvgOrImageDecoder : ResourceDecoder<InputStream, SvgOrImageDecodedResource> {

override fun handles(source: InputStream, options: Options): Boolean {
    return true
}

@Throws(IOException::class)
override fun decode(
    source: InputStream, width: Int, height: Int,
    options: Options
): Resource<SvgOrImageDecodedResource>? {
    val array = source.readBytes()
    val svgInputStream = ByteArrayInputStream(array.clone())
    val pngInputStream = ByteArrayInputStream(array.clone())

    return try {
        val svg = SVG.getFromInputStream(svgInputStream)

        try {
            source.close()
            pngInputStream.close()
        } catch (e: IOException) {}

        SimpleResource(SvgOrImageDecodedResource(svg))
    } catch (ex: SVGParseException) {
        try {
            val bitmap = BitmapFactory.decodeStream(pngInputStream)
            SimpleResource(SvgOrImageDecodedResource(bitmap = bitmap))
        } catch (exception: Exception){
            try {
                source.close()
                pngInputStream.close()
            } catch (e: IOException) {}
            throw IOException("Cannot load SVG or Image from stream", ex)
        }
    }
}

Transcoder

class SvgOrImageDrawableTranscoder : ResourceTranscoder<SvgOrImageDecodedResource, PictureDrawable> {
override fun transcode(
    toTranscode: Resource<SvgOrImageDecodedResource>,
    options: Options
): Resource<PictureDrawable>? {
    val data = toTranscode.get()

    if (data.svg != null) {
        val picture = data.svg.renderToPicture()
        val drawable = PictureDrawable(picture)
        return SimpleResource(drawable)
    } else if (data.bitmap != null)
        return SimpleResource(PictureDrawable(renderToPicture(data.bitmap)))
    else return null
}

private fun renderToPicture(bitmap: Bitmap): Picture{
    val picture = Picture()
    val canvas = picture.beginRecording(bitmap.width, bitmap.height)
    canvas.drawBitmap(bitmap, null, RectF(0f, 0f, bitmap.width.toFloat(), bitmap.height.toFloat()), null)
    picture.endRecording();

    return picture
}

Decoded Resource

data class SvgOrImageDecodedResource(
val svg:SVG? = null,
val bitmap: Bitmap? = null)

Glide Module

class AppGlideModule : AppGlideModule() {
override fun registerComponents(
    context: Context, glide: Glide, registry: Registry
) {
    registry.register(SvgOrImageDecodedResource::class.java, PictureDrawable::class.java, SvgOrImageDrawableTranscoder())
        .append(InputStream::class.java, SvgOrImageDecodedResource::class.java, SvgOrImageDecoder())
}

// Disable manifest parsing to avoid adding similar modules twice.
override fun isManifestParsingEnabled(): Boolean {
    return false
}

}