The short answer is no. The long answer, however, is maybe, if all of the right conditions are met, and a truly unbelievable chance occurrence.
Regular Breeding Regularly, the two creatures would have sex, a sperm cell would connect with an egg cell, and an embryo would form (I'm simplifying greatly for this question, but it doesn't matter that much). According to Wikipedia, the definition of a species is:
A species is often defined as the largest group of organisms in which two >individuals can produce fertile offspring, typically by sexual reproduction.
Considering that your canine-like creature comes from a different planet, they would likely be different species. There is, however, a miniscule chance where the reproductive organs on both sides are able to reproduce with each other, if some conditions are met, in order for them to be just close enough on the family tree to reproduce. This would still probably create something that is not fertile, but that is uncertain. 1008
The conditions would likely include: near Earth-like planet, near Earth-like natural history (including some dinosaur-like species that died out), near identical situations for the emerging species, etc., etc. With these requirements, it is nearly impossible through regular breeding.
Genetic Modification In theory, genetically modifying your dogs reproductive organs could work, but the chances are extremely low, and they would likely require years of testing and trial and error. I don't know the kind of timeframe that you want this to be in, and it is hard to predict how long this would take.
Regular Evolution It is possible, though unlikely, that these creature would find it beneficial to breed with dogs, and through some weird mutation gain the ability to do so, through evolution. Unless your creature had the evolution timeline of a squid(can't find a source for this, but squid's DNA is somewhat unstable, allowing it to change in one generation what other animals may do in ten), this would take a very long time, probably in the several thousand to ten thousand year range, if they're similar enough.
Reproduction Via "Assimilation" This is the possibility that I find the most interesting: Reproduction via "assimilation." What I mean by this is, the creature that you're describing has found a way to reproduce with anything in it's entire family or order, due to the fact that it's sperm or egg is capable of using the genetic information of anything in your creature's family or order, and creating a hybrid offspring between the two creatures, but said offspring would lean heavily to the creature's side genetically, only displaying a few traits of the other animal. Such a trait would be very unlikely, but it would create an interesting world.
If you really truly need your creature and dogs to reproduce, it is possible, but extremely unlikely, to the point, where no might simply be the more "correct" answer. 1008