In short, No.
We have a database of the torrents on nyaa up to April 5. That means that everything past April 5 is gone. Sukebei, however is in worse shape. We only have sukebei databases up to 2016.
The aforementioned databases are being hosted at nyaa.pantsu.cat and sukebei.pantsu.cat. There is a search function, and (almost) full nyaa functionality should be coming soon. Unfortunately, due to the lack of a tracker and no plans to make one, seeder/leecher statistics will not be restored.
Even if the trackers are down, seeders are still connected to the decentralized DHT network. As long as the file is listed on the DHT network, business should carry on as usual.
Just use the magnet link. The magnet link will used by your BitTorrent client to look up the file on the DHT network and it should download just fine.
If your magnet link starts with "magnet:magnet:", delete the first "magnet:". It should look like: magnet:?xt=urn:btih:[hash]&dn=[name]&tr=[tracker]
If you have website development expertise, you can join the #nyaapantsu IRC channel on irc.rizon.net. If you have any current databases, UPLOAD THEM.