If we want to display a jquery calendar for end user who can pick maximum date as current date in the calendar. The below code will useful to this scenario.

<?php
use yii\jui\DatePicker;
use yii\widgets\ActiveForm;
?>

<?php $form = ActiveForm::begin(['id' => 'profile-form']); ?>
.....
<?= $form->field($model, 'date_of_birth')->widget(DatePicker::classname(), ['dateFormat' => 'php:M d, Y', 'options' => ['readonly' => true], 'clientOptions' => [ 'changeMonth' => true, 'changeYear' => true, 'yearRange' => '1980:'.date('Y'), 'maxDate' => '+0d']]) ?>
.....
<?php ActiveForm::end(); ?>

For some forms you want display the days from future/past days and other days need to disabled, then this scenario will help.

<?php
use yii\jui\DatePicker;
use yii\widgets\ActiveForm;
?>

<?php $form = ActiveForm::begin(['id' => 'profile-form']); ?>
.....

<?php
$day = '+5d'; //if you want to display +5 days from current date means for future days.
#(or)
$day = '-5d'; //if you want to display -5 days from current date means older days.
?>
<?= $form->field($model, 'date_of_birth')->widget(DatePicker::classname(), ['dateFormat' => 'php:M d, Y', 'options' => ['readonly' => true], 'clientOptions' => [ 'changeMonth' => true, 'changeYear' => true, 'yearRange' => '1980:'.date('Y'), 'maxDate' => $day]]) ?>
.....
<?php ActiveForm::end(); ?>

If you want to have calendar for from date and to date and also to date calendar days always will be greater than from date field, then below scenario will help.

<?php $form = ActiveForm::begin(['id' => 'profile-form']); ?>
.....
<?= $form->field($model, 'from_date')->widget(DatePicker::classname(), ['dateFormat' => 'php:M d, Y', 'options' => ['readonly' => true], 'clientOptions' => [ 'changeMonth' => true, 'changeYear' => true, 'yearRange' => '1980:'.date('Y'), 'onSelect' => new yii\web\JsExpression('function(selected) { var dt = new Date(selected); dt.setDate(dt.getDate() + 1); $("#filter-date-to").datepicker("option", "minDate", dt); }')]]) ?>

<?= $form->field($model, 'to_date')->widget(DatePicker::classname(), ['dateFormat' => 'php:M d, Y', 'options' => ['readonly' => true, 'id' => 'filter-date-to'], 'clientOptions' => [ 'changeMonth' => true, 'changeYear' => true, 'yearRange' => '1980:'.date('Y')]]) ?>
.....
<?php ActiveForm::end(); ?>