It's certainly possible to fake tells.
However whatever you will show will be a tell, and good players will take note of it.
Experienced players at high stakes may fake tells too sometimes.
Now, I think faking tells is possible maybe at the beginning of the game when you are fresh and stakes are still low.
As you go further in a tournament, or after 5 hours spent sitting at a cash game, it's hard to fake tells.
When you are close to the bubble, and you raise and get reraised, you are focused on your game, you are stressed and you can't really fake your natural behaviour.
When you are playing say $1/$2 and there is $300 in the pot, you are not holding the nuts, it's difficult to fake.
I believe the best strategy is to try and remain neutral in any case. Whether you are bluffing, holding a very strong hand, try to not show any tells is probably the best strategy.
But as I said, as stakes become higher, you can't really fake your natural emotions. Your hand will shake a little as you move your chips for example, if involved in a big pot. Your heart will beat very strongly, and your heart beat will be very apparent via your vein in the neck. Even if you try to convince yourself that you don't care about taking the $20k for the 1st place, your heart will still beat hard and you will reveal unintentional tells.
There is this video you can see on youtube about a hand that involves tom dwan and phil ivey. Tom Dwan is all in on a total bluff. And Phil Ivey is taking long minutes to make a decision. There is a lot of money in the pot. $500k+ if I remember well. Stakes are huge. Tom Dwan tries to reveal no tell. He tries to stand still as a statue, eyes wide open, staring one precise point on the table, not blinking eyes. The level of stress is so high that at a moment you see a tear coming out of Dwan's eye. Other players not involved in the hand noticed that and asked him what was going on with his eye after the hand was played.
Even the best players, when stakes are high can't fake tells, and even fail at showing no tell at all.