Your boy Trump was doing that already.
Going after political enemies would be to persecute someone without any evidence, like hearsay, with the whole Burisma thing. He said she said without receipts.
Republicans have been hammering away at versions of the Hunter Biden storyline ever since 2019, sure that the scent of scandal attached to Biden's son will drag down Joe, even though Hunter has no position in the White House, unlike Ivanka, Kushner, and Jr. who received millions from China, but you don't talk about that.
Trump survived his first impeachment after trying to pressure Ukraine’s president to investigate Biden.
Republicans in the Senate, when they held the majority there, issued a report on Hunter Biden – although it alleged no specific corruption – just before the 2020 election.
House Republicans, now that they have the majority, have taken up the baton.
There are records of Trump failing to meet deadlines for his documents *at the least.* That right there, is evidence enough to start an investigation.