Can I buy bitcoin at a lower price?
If there was a special place to buy bitcoin at a lower price, peoples or bots will rush it to buy all of them then resell it rendering this special not so special any more.

Still there is some places where you can find some interesting offer I guess, like https://localbitcoins.com/ which offer to buy bitcoin from people in real life and https://bisq.network/ which is a decentralized exchange, I suppose there must be some shady link like on the tor onion network too. Be careful of scam especially those offering to sell discout bitcoin from past hacked exchange.