Метод 1: использование виджета Drawer и UserAccountsDrawerHeader

import 'package:flutter/material.dart';
void main() {
  runApp(MyApp());
}
class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: Scaffold(
        appBar: AppBar(
          title: Text('Flutter Drawer with Profile Image'),
        ),
        drawer: Drawer(
          child: ListView(
            children: [
              UserAccountsDrawerHeader(
                accountName: Text('John Doe'),
                accountEmail: Text('johndoe@example.com'),
                currentAccountPicture: CircleAvatar(
                  backgroundImage: AssetImage('assets/profile_image.jpg'),
                ),
              ),
              ListTile(
                title: Text('Item 1'),
                onTap: () {
                  // Handle item 1 tap
                },
              ),
              ListTile(
                title: Text('Item 2'),
                onTap: () {
                  // Handle item 2 tap
                },
              ),
            ],
          ),
        ),
        body: Center(
          child: Text('Drawer Example'),
        ),
      ),
    );
  }
}

Метод 2. Использование пользовательского виджета ящика с изображением профиля

import 'package:flutter/material.dart';
void main() {
  runApp(MyApp());
}
class MyApp extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      home: Scaffold(
        appBar: AppBar(
          title: Text('Flutter Drawer with Profile Image'),
        ),
        drawer: MyDrawer(),
        body: Center(
          child: Text('Drawer Example'),
        ),
      ),
    );
  }
}
class MyDrawer extends StatelessWidget {
  @override
  Widget build(BuildContext context) {
    return Drawer(
      child: ListView(
        children: [
          Container(
            padding: EdgeInsets.all(16.0),
            child: Column(
              crossAxisAlignment: CrossAxisAlignment.start,
              children: [
                CircleAvatar(
                  backgroundImage: AssetImage('assets/profile_image.jpg'),
                  radius: 40.0,
                ),
                SizedBox(height: 8.0),
                Text(
                  'John Doe',
                  style: TextStyle(fontSize: 18.0, fontWeight: FontWeight.bold),
                ),
                Text('johndoe@example.com'),
              ],
            ),
          ),
          ListTile(
            title: Text('Item 1'),
            onTap: () {
              // Handle item 1 tap
            },
          ),
          ListTile(
            title: Text('Item 2'),
            onTap: () {
              // Handle item 2 tap
            },
          ),
        ],
      ),
    );
  }
}