Is there such a thing, do we have a measure of randomness and ability to shape our own destinies or ultimately are all things predestined.
I'll give you one perpective. According to the following verse:
Romans 8:28 (ESV)
In other words, to the Christian who has grown to love and trust God implicitly, God's hand is in everything in his life, in both good and "bad" events. Even the negative circumstances are taken as though from God, allowed by God to shape the believer's character, as it states in Romans 5:3-4,
You may be confusing luck and shaping our own destinies. They are not mutually exclusive. If I want to lose 10 lbs, I can trust to chance or make my own luck by eating fewer calories than I burn until I get the weight I want. But when I act on it, then, according to the dictionary of English words, the event is no longer luck, but a planned event. If you plan something to happen, then it is no longer luck. (This is not always correct though: you can intentionally make your way to a red-carpet gala to get a movie star's autograph (not luck) and either the star doesn't show up, or you're too far to get to him (bad luck.)
The Bible does not have any Scriptures on 'luck' per se , but does have several in which it talks about chance. The difference is that chance according to Webster is: An event that happens, falls out or takes place, without being contrived, intended, expected or foreseen; the effect of an unknown cause, or the unusual or unexpected effect of a known cause; accident; casualty; fortuitous event; as, time and chance happen to all.
Chance and luck can sometimes be interchangeable.
all Scripture is quoted from the King James translation.
In the following Scriptures you might use luck in place of chance.
1st Samuel 6:8 and 9
2nd Samuel 1:6
but with this verse Chance and luck have different meanings.
My concordance does not record the word luck as in the bible. Do we have an ability to shape our destiny? Yes. We have choice.
Deuteronomy 6;21 And the LORD commanded us to do all the statues, to fear the LORD our God, for our good, that he might preserve us alive, as it is at this day.
Proverbs 1;7 The fear of the LORD is the beginning of knowledge,; but fools despise wisdom and instruction.
Proverbs 28;26 He that trusteth in his own heart is a fool: but whoso walketh wisely shall be delivered.