No. Gases (well most of them), no matter the pressure will be lower density than water and so still rise.
There may be some substances that at high enough pressures can still form a gas bubble but with a density greater than water, there are some weird things out there, but I’ve never heard of one.
What will normally happen instead is that if the pressure is high enough the bubble will collapse and the gas with be absorbed into the water. This is what happens with fizzy drinks, the pressure is high enough that the carbon dioxide is absorbed into the water. Once the pressure is released the gas starts to reform bubbles.
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