Definitely can do. You can also look into binding of parameters, which might be a bit faster and clearer in some circumstances:

$sth = $dbh->prepare('UPDATE Images SET strID=? WHERE strID=?');
$sth->bind_param(1, $strID);
$sth->bind_param(2, $strID);
$sth->execute()
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Alternately you can follow the suggestion above another just pass in the same variable to execute twice.