In some cases you can update more than one row, but normally not. You can do like this:
UPDATE tbl SET update_field = '$value' WHERE id = '$id' OR id = '$id'
UPDATE tbl SET update_field = '$value' WHERE non_id = '$value2'
But I don't mean you think those cases. I think you mean something that will work in the same way as many rows, as below:
UPDATE tbl SET update_field = '$value1' WHERE id = '$id1'
UPDATE tbl SET update_field = '$value2' WHERE id = '$id2'
Then the answer is no, it is not possible to update that way. It is not possible to send many queries to the database with a semicolon between from PHP either.