I think it is impossible if bitcoin can be manipulated, because the price of bitcoin is up and down is determined by the purchase and sale of the users, and the sale of bitcoin is done on exchangers, and the exchanger cannot manipulate prices. because this is crypotcurrency prices can only be determined by requests and offers. prices will automatically follow. supply and demand can be said to be unbalanced. if many bidding requests are less, the price of the coin will increase, on the contrary if there is less demand, many offers will cause the coin price to drop
Strictly speaking, the fact that the price is determined by the buys and sells of traders doesn't in the least exclude a possibility of market price manipulation as everything which changes prices ultimately comes down to either selling or buying an asset, in this case bitcoin. Simply put, you are looking only at what is right on the surface, but you don't seem to quite understand how prices can be affected by manipulating the market sentiment en masse at a deeper level, through news, rumors, forum posts, telegram channels, and so on.
That doesn't mean that every price movement is necessarily a result of price manipulation, of course, as that would be bordering on paranoid. Moreover, the stronger the move and the more lasting its effects are, the less likely it to be an outcome of deliberate and intentional manipulation, but manipulation is still possible through a concerted effort of big market players such as exchanges and individual cryptostars and celebrities.