This question might totally misunderstand the situation, but the Martian atmosphere is about 2.5x10^16 kg right now [1]. Let's say I have a Very Large Tank, with an equivalent amount of gas at the exact same composition as Mars, but at an exotically high pressure. Then, I quickly dump the gases into the atmosphere, and now the Martian atmosphere is 5x10^16 kg. Is the pressure no higher?
Does the pressure spike to, say, double at first, and then slowly burn off from the atmosphere flying out of the influence of Mars gravity, returning back to a steady 0.38 bar?
Compare: "since Venus has 90% of Earth’s gravity, it can only retain an atmosphere of about 0.90 bar".
The relevant thing is the gas escape rate. Aside from the magnetic field, this is dependent upon the temperature, atmospheric composition and the escape velocity. Without plate tectonics to replenish it, even Earth would eventually lose much of its atmosphere. Note that Venus has a weak magnetic field also, and the interaction with the solar wind is believed to be one reason why there is so little water in the Venusian atmosphere.
So, if you were to add enough gas to the Martian atmosphere, it would have a higher pressure until the gas was lost over thousands or millions of years.
I wouldn't try aiming for terraforming Mars with today's technology, but that doesn't mean that tomorrow's technology might not be able to. Personally, I think Venus is the better choice for terraforming anyways.
It is not the same composition, obviously, but I don't really see how it matters. On Venus, the atmosphere is mostly CO2, on Titan, mostly nitrogen, the gases we had on Earth before life came in and dumped all that oxygen.
So I don't see why a 1 bar, Earth-like atmosphere would be impossible on Mars, except for the small detail of getting the gases there in the first place.
With just a few people (soon, maybe???) and practically no resources on hand, to expect to do better on Mars is ridiculous.