Yes, this is exactly what TAAPI.IO is great for. It's really simple to make an app doing exactly this type of thing. Attached please find an example of a bulk query you might use for this. You can run this type of query periodically (once every hour, minute or a few seconds if you like...) and just track the results for the different moving averages (you can add more than 2 and also add other indicators). Then you just need to code your own login on what you want to happen when the crossover in the values happens ;)

{
   "secret":"{{ _.secret }}",
   "construct":{
      "exchange":"binance",
      "symbol":"BTC/USDT",
      "interval":"1d",
      "indicators":[
         {
            "indicator":"ema",
            "period":50
         },
         {
            "indicator":"ema",
            "period":200
         }
      ]
   }
}