No, this is not practicable.
Imagine making another Lake Superior, the 3rd most voluminous lake on Earth, which according to Wikipedia holds 10% of the world's fresh surface water (excluding the ice in Antarctica). It has a volume of 12,100 km3, and would cover about one-fifth of California (at the same depth of about 150 m).
The ocean has an area of 361 million km2, so removing another Lake Superior's worth of water would reduce its depth $d$ by:
$$\Delta d = \frac{12.1\times 10^3}{361 \times 10^6} = 33.5\times 10^{-6}\ \mathrm{km, or}\ 33.5\ \mathrm{mm} $$
... a bit over one inch. According to sealevelrise.org, this is about 10 years' worth of rise.
If you had 639 5400-horsepower Pentair Fairbanks Nijhuis pumps (the most powerful pump in the world, built for keeping the Netherlands dry), you could pump at 38 million litres per second and keep up with sea-level change (not accounting for evaporation or rainfall). At 4000 kW per pump, I think this would require the combined output from the six or seven largest solar farms in California, or a bit more than the output of the Diablo Canyon nuclear power plant.
Unfortunately, there are a lot of other factors controlling local sea-level; see this other answer for example. Not to mention the issue of figuring out where this saline lake will go...