Great idea! Not yet, but this is something we’re planning for the future.
In the meantime, there’s a couple of options you can consider.
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Simulate the control with a very minimal table of one cell - see these community threads: Text control box for search? and Partial Match Search Box Filter
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Create a named formula whose value is a text string, and reference that formula when filtering the table. Users would need to edit the formula value to change the search term.