Yes, there's no particular reason not to. The different calcium and alkalinity parameters for different salt mixes just represent different relative amounts of the same things (calcium chloride and sodium carbonate/bicarbonate, generally). So there's no interaction that would cause precipitation or other issues.
BTW - if you choose to, there's no reason that you can't choose a salt with lower values of calcium and/or alkalinity, and simply supplement the resulting seawater with calcium chloride and/or sodium carbonate/bicarbonate to adjust the parameters to your liking. Testing each new dissolution isn't required if the base mix is consistent batch-to-batch, and as long as you mix the same amount each time. This is exactly what I do with hw marinemix - I add 1/2 of a teaspoon of calcium chloride to each 25 gallon batch to slightly boost the calcium.