ASP.NET Identity remove column from AspNetUsers table

Actually you can ignore the fields, just you need to configure your entity OnModelCreating within your context Class as:

protected override void OnModelCreating(DbModelBuilder modelBuilder)
{
        base.OnModelCreating(modelBuilder);
        modelBuilder.Entity<IdentityUser>().Ignore(c => c.AccessFailedCount)
                                           .Ignore(c=> c.LockoutEnabled)
                                           .Ignore(c=>c.LockoutEndDateUtc)
                                           .Ignore(c=>c.Roles)
                                           .Ignore(c=>c.TwoFactorEnabled);//and so on...

        modelBuilder.Entity<IdentityUser>().ToTable("Users");//to change the name of table.

}

The short answer is no, not without rolling your own implementation. Or you can wait for them to open source asp.net identity on codeplex. Who knows how long that will take.

The default implementation includes all of those unused columns (see below).

// Summary:
//     Default EntityFramework IUser implementation
//
// Type parameters:
//   TKey:
//
//   TLogin:
//
//   TRole:
//
//   TClaim:
public class IdentityUser<TKey, TLogin, TRole, TClaim> : IUser<TKey>
    where TLogin : Microsoft.AspNet.Identity.EntityFramework.IdentityUserLogin<TKey>
    where TRole : Microsoft.AspNet.Identity.EntityFramework.IdentityUserRole<TKey>
    where TClaim : Microsoft.AspNet.Identity.EntityFramework.IdentityUserClaim<TKey>
{
    // Summary:
    //     Constructor
    public IdentityUser();

    // Summary:
    //     Used to record failures for the purposes of lockout
    public virtual int AccessFailedCount { get; set; }
    //
    // Summary:
    //     Navigation property for user claims
    public virtual ICollection<TClaim> Claims { get; }
    //
    // Summary:
    //     Email
    public virtual string Email { get; set; }
    //
    // Summary:
    //     True if the email is confirmed, default is false
    public virtual bool EmailConfirmed { get; set; }
    //
    // Summary:
    //     User ID (Primary Key)
    public virtual TKey Id { get; set; }
    //
    // Summary:
    //     Is lockout enabled for this user
    public virtual bool LockoutEnabled { get; set; }
    //
    // Summary:
    //     DateTime in UTC when lockout ends, any time in the past is considered not
    //     locked out.
    public virtual DateTime? LockoutEndDateUtc { get; set; }
    //
    // Summary:
    //     Navigation property for user logins
    public virtual ICollection<TLogin> Logins { get; }
    //
    // Summary:
    //     The salted/hashed form of the user password
    public virtual string PasswordHash { get; set; }
    //
    // Summary:
    //     PhoneNumber for the user
    public virtual string PhoneNumber { get; set; }
    //
    // Summary:
    //     True if the phone number is confirmed, default is false
    public virtual bool PhoneNumberConfirmed { get; set; }
    //
    // Summary:
    //     Navigation property for user roles
    public virtual ICollection<TRole> Roles { get; }
    //
    // Summary:
    //     A random value that should change whenever a users credentials have changed
    //     (password changed, login removed)
    public virtual string SecurityStamp { get; set; }
    //
    // Summary:
    //     Is two factor enabled for the user
    public virtual bool TwoFactorEnabled { get; set; }
    //
    // Summary:
    //     User name
    public virtual string UserName { get; set; }
}

Actually you can, just configure your entity on OnModelCreating of your context class.

protected override void OnModelCreating(DbModelBuilder modelBuilder)
{
    modelBuilder.Entity<IdentityUser>().Ignore(u => u.AccessFailedCount);
    //and so on...
}

Or if your application has a separate file for each configuration (wich is what i recommend), you can do like this:

public class ApplicationUserEntityTypeConfiguration : EntityTypeConfiguration<ApplicationUser>
{
    public ApplicationUserEntityTypeConfiguration()
    {
        Ignore(p => p.AccessFailedCount);
        //And so on..
    }
}