Question

Is it possible to catch exception and continue execution of script?

Answer 1

Sure, just catch the exception where you want to continue execution…

try
{
    SomeOperation();
}
catch (SomeException $ignored)
{
    // do nothing... php will ignore and continue
    // but maybe use "ignored" as name to silence IDE warnings.  
}

Of course this has the problem of silently dropping what could be a very important error. SomeOperation() may fail causing other subtle, difficult to figure out problems, but you would never know if you silently drop the exception.