As per Jainism does the soul have to escape Krambaddh pre-destined events and attain salvation moksha?

No! First and foremost, one can never escape the Krambaddh pre-destined events because every event happening in our current life that can be experienced through the five senses is the result of our past karmas.
The law of karma is such that:

Whatever seeds of karma we’ve sown in our past life, we HAVE to bear the fruits of it in future life.
When the time is up for maturation of a particular karma, the fruit automatically comes into effect and gets discharged naturally. It is like we sowing the seed of mango; and later when the time is right, the mango fruit ripens automatically and shows up on the tree.
The sowing of seed is the cause and the fruit it bears is its effect.

Our past karmas come into effect and the pre-destined events happen. The karma gives the effect and sheds off on its own. So there’s actually no need to escape from them, they’ll leave us anyways.

However, while experiencing these effects of the past karma, we simultaneously bind new karma too. These are the new causes, which in turn will bring new effects in future life. And the cycle of cause and effect, effect and cause goes on and on in life; and this is how our birth and death, death and rebirth continue life after life.

How does one attain salvation then?
If no new causes will occur; only the effects will remain. And when all effects are completely experienced, we will attain salvation - moksha. In other words, if no new karma is bound, only krambaddh pre-destined events will remain. And when all the events are completely experienced, we will attain salvation - moksha.
Param Pujya Dada Bhagwan, the founder of Akram Vignan-an easy and stepless path to Self-Realization, says, “If one understands the principle of karma, they would understand the principle of liberation (moksha, salvation).”

Whenever one becomes the doer, one binds karma. We believe we are the doers, while in fact, it is a result of past life karma that we are seen to be doing things, including our act of trying to escape from the Krambaddh pre-destined events. Things occur and materialize because of our past karmas coming into effect. Yet we claim, ‘I am the doer’ and exercise our ego. Charging of new karma is based on this doership. So, once we are freed from that doership, we will stop binding new karma.

When Gnani makes us aware of who am I and releases us from doership no new karmas are bound. As long as we are the doer, we bind karma. However, when Gnani, the Enlightened One helps us realize, "I am not this body, I am a Pure Soul", we come into the nature of the Soul which is to only see and know everything, including the pre-destined events and also our reactions while these events unfold. Gnani thus removes the base of doership, and with this the charging of new karma stops. Only old karma (Krambaddh pre-destined events) remain. These we have to experience, there’s no escape possible because once the causes are made, the effects will come.

Since new karmas are not bound, our salvation becomes guaranteed now.The discharge of karmas will continue until they are completely exhausted. Gnani’s teachings further help us discharge our past karmas with equanimity such that they are able to get completely exhausted faster. And if we see bad thoughts or negativity arising during the discharge of old karma, we learn to immediately confess them before God, ‘I have had such and such bad thoughts. I am asking for forgiveness and I earnestly vow never to do it again.’ Finally, when all the karmas will have discharged, we shall attain final salvation - moksha.

Thus, as per Jainism, the Soul has to escape ignorance of ‘Who am I’ and not the krambaddh pre-destined events to attain salvation – moksha!

To know more : https://www.dadabhagwan.org/path-to-happiness/akram-vignan/