SQL> declare
  2  p_type VARCHAR2(60):='`~!@#$%^&*()-=_+[]\{}|;':",./<>?';
  3  lv_type VARCHAR2(60);
  4  begin
  5  lv_type := '''' || p_type || '''';
  6  dbms_output.put_line( lv_type );
  7  end;
  8  /
ERROR:
ORA-01740: missing double quote in identifier

SQL> select 'a quote -->''<--' v,
  2         q'[a quote -->'<--]' v
  3  from dual;
V               V
--------------- ---------------
a quote -->'<-- a quote -->'<--

SQL> SELECT 'a quote -->'||CHR(39)||'<--' FROM dual;
 
'AQUOTE-->'||CHR(39)||'<--'
---------------------------
a quote -->'<--
 
SQL> 

SQL> DECLARE
  2   qt VARCHAR2(10):='''';
  3  p_type VARCHAR2(60):='~!@#$%^&*()-=_+[]\{}|;'':",./<>?';
  4  lv_type VARCHAR2(60);
  5  begin
  6    lv_type :=qt||p_type||qt;
  7   dbms_output.put_line( lv_type );
  8  end;
  9  /
   
   '~!@#$%^&*()-=_+[]\{}|;':",./<>?' 

PL/SQL procedure successfully completed.