Bearing in mind that the only reason DNA exists is through Amino Acids and a nitrogen-rich atmosphere that allowed it to exist; I'd say the answer to your question is:
Not Likely
Firstly, as Green wrote in his answer on your linked question;
DNA in and of itself is just information. It contains the coding for cellular machinery, it is not that machinery itself.
Secondly, and here's a big kicker.
Space is BIG
Unimaginably big! The nearest star to the Earth other than our Sun is Proxima Centauri, and even that is still 4.2 Light Years away.
If anyone's interested in maths:
the speed of light = $299\,792\,458\ m/s$
multiplied by $3600\ (60\times60) = 1\,079\,252\,848\,800\ (\approx 1.08 \text{ trillion})\ m/h$ (metres/hour)
multiplied by $24 = 25\,902\,068\,371\,200\ (\approx 25.9 \text{ trillion})\ m/d$ (metres/day)
multiplied by $\approx 365.25 = 9\,460\,730\,472\,580\,800\ (\approx 9.5 \text{ quadrillion})\ m/y$ (metres/year)
And that's just the distance light would take in the time it took the Earth to complete one rotation about the sun, it's got to do that 4.2 times.
Even with our fastest currently active spacecraft (Voyager 1 at some 17050 m / s) it would take well over 70,000 years to reach Alpha Centauri, even if it were pointed in that direction.
Put bluntly, by the time any kind of probe containing genetic information would make it to Earth from another star system, it would probably have been overhauled by colonizers in faster ships expecting to find a populated world and ending up finding that they'd beaten the genetic pod to the destination by some margin.
Then there's the little thing I mentioned at the start of my answer. You have no way of knowing if the target planet even has the right conditions for "life" as you know it to exist on its surface. Even with our technology, we can only guess at distant planets' compositions and need to send probes to make closer analysis of the planets' surfaces. (see New Horizons / Juno / OSIRIS-REx)
Intelligent Life
How can we define intelligent life? Is it something resembling humanoids? Is it Homo Sapiens Sapiens? (Us?) Either way, life, you'll find takes a rather long time to take hold on any planet, even one such as Earth.
I'm ignoring the first 500 million years, approximately, of Earth's life as it was too inhospitable for life to form.
On Earth, for approximately 600 MILLION YEARS the most complex life found was single-celled life (Hadean Era)
For approximately 1 BILLION YEARS (1 thousand Million, not 1 million million) after that you had algae and photosynthesis, but still no multi-cellular life.
Then, for the next, approximately, 1 BILLION YEARS Eukaryotes dominated the early Earth.
Finally, 1.5 billion years ago, multi-cellular life began to form; they were still simple algae, but now they had multiple cells, and it stayed this way for another 1 BILLION YEARS approximately.
Now, we're at 500 Million Years Ago and finally we enter the Cambrian Explosion, where the largest amount of land animals and plantae evolved rapidly (20-35 million years is pretty rapid in planetary terms) Now things are really heating up!
Swiftly following the Cambrian era (541–485.4 million years ago) are as follows:
- Ordovician Era (485.4–443.8 million years ago)
- Ordovician - Silurian Exinction Event
- Silurian Era (443.8–419.2 million years ago)
- Devonian Era (419.2–358.9 million years ago)
- Late Devonian Extinction Event
- Carboniferous Era (358.9–298.9 million years ago)
- Permian Era (298.9–252.17 million years ago)
- Permian Extinction Event
- Triassic Era (First dinosaurs as we know them - 252.17–201.3 million years ago)
- Triassic - Jurassic Extinction Event
- Jurassic Era (201.3–145 million years ago)
- Cretaceous Era (145–66 million years ago)
- Cretaceous - Paleogene Extinction Event (Extinction of the dinosaurs)
- Paleogene Era (66–23.03 million years ago - Mammals evolved mostly here, but still no humans)
Neogene Era (23.03–2.58 million years ago) - Finally! at 2.58 MILLION YEARS AGO, more than 4.5 BILLION YEARS after the formation of the earth, we have the first, true hominids, early humans coming out of Africa.
Lastly, the Quarternary Era (2.58–0 million years ago) somewhere in here, modern humans come into being, we invent the wheel, electricity, plumbing, the internet, computers, cell phones, cars, planes, buses, trains, cities, skyscrapers, buildings, etc, etc, etc.