Will intake gasket leak make the lifters tic when first starting

As Ray said, a mechanic is the best bet . A lifter, bad belt , exhaust leak and any rotating pulley can sound similar and you need it narrowed down to exactly what needs fixing .

Most engines now use hydraulic lifters and they can leak a little, this causes space between then lifter and the push rod. This results in a tapping noise that goes away when they get warm or fill back up.

intake gasket might cause it if the coolant froze and broke the seal between the head and intake and is leaking directly into the lifter valley

possibly lifter tap! would need more info for better diagnosis

YOU HAVE INTAKE GASKET LEAK.ANTIFREEZE LEAK ON VALVE LIFTERS DILUTING OIL CAUSING LIFTER NOISE.

If the engine oil was full of antifreeze when the intake gasket went bad, then there is a good chance that there may be some cam and/or lifter damage. A more likely cause of your problem would be that the push rods got mixed up when you put it back together. The intake and exhaust rods are different lengths. If this is the case, and you have turned the engine over, there is a good chance that you now also have a bent pushrod and intake valve. The exhaust pushrod is the longer one and if you mix them up, the piston will contact the intake valve because it will not be able to close due to the longer pushrod. This will bend or break the pushrod and bend the valve stem.

SOUND LIKE INTAKE MANIFOLD LEAK.ANTIFREEZE WILL GET IN CRANK CASE DILUTE ENGINE OIL CAUSE VALVE LIFTER NOISE.TAKE VECHICLE TO RADIATOR SHOP OR GARAGE.LET THEM PRESSURISE COOLANT SYSTEM CHECK FOR INTAKE MANIFOLD LEAK AND HEAD GASKET LEAK.

Yes you need to fix the oil in water, ASAP. Damage may have already been done. The intake manifold gaskets are common to leak.

if it's 5.2 or 5.9 engine,the intake manifold plenum pan gasket may be drawing oil from lifter valley of engine..remove air cleaner and check down inside manifold with throttle plates wide open and look for oil pooling inside intake..if there is oil in there,you to remove intake manifold and replace gasket and bolts holding rectangular pan to bottom of intake..you will need intake gaskets as well..suggest going to dealer for parts..fairly inexpensive as well..i hope this helps

if you had coolant leaking into the engine .likely intake gasket leaked this will take out your lifters i've replaced a few because of this.is it a 3.8L or 3.4L