If the distance is short enough you can run component into a component -> HDMI converter/scaler; I've done this with my own XH-A1 without issue using just a cheap converter I think I must have picked up on eBay some time back. Note that you don't get true HD this way, as you are taking an SD feed from the camera and using the converter to upscale it, but it does work.
Note that while I have not tried one of these (they are all long since discontinued though you may be able to find one used somewhere?) there have in the past been devices which could convert from HDV over firewire into HD-SDI, which could then be converted to HDMI by an additional converter - these might be able to maintain more of the original resolution captured by the camera if you can find one which is compatible with the signal from the XH-A1.
Roland even made one with an HDMI output:
https://proav.roland.com/global/products/vc-50hd/Again, not sure if that one will work with the XH-A1 or not, just showing that such devices did in fact exist.