No, Handbrake doen’t have frame control capabilities, but it does have presets for Apple Devices and uses the x264 codec, which is superior to Apple’s version of H264. It will make a great looking file from ProRes HQ.
As William Car says, [William Carr] ” their thoughtful recommendation is to make a 1280×720 h264 at about 5Mbps. Why not just try that from your ProRes using Compressor or Streamclip or AUNsoft or whatever and upload to Vimeo with privacy on and see how it looks. It will probably look great.”