Curiosity

No. Each draw is independent on the others. Your chances are always 1/(number of entries).

If you enter only public giveaways with 1000+ entries, if will probably take some time to win something.

my chances of winning again soon are lower right

No that's not how probabilities work.
If you roll a die, and get a 6, and then roll again the die, you don't have less chance to get a 6 again.

Look up "Gambler's fallacy".

Flip a coin and call "heads."
If you flip the coin again, doe your previous guess effect the next one?
Technically you could guess 500 times in a row, and get it right every time.
Same here.
Theoretically you could enter 500 giveaways, and win every single one. It's just not very likely to happen.

Maybe just take a moment to thank the gifter when you win — a little appreciation goes a long way. Who knows, good karma might even boost your chances next time 🙂