As long as you know the locations of all stations (including those that did not catch an animal) it is possible to go ahead with a single-occasion point-based spatial analysis (detector type 'count' in secr). Ideally you would also allow for varying effort between sites (a trap-level covariate), but if the variation is 'small' it may have a small effect on the estimates: this could be checked by modelling with and without such an effect at the site where you have the data, and by simulation (not as hard as it sounds).
[As an aside - you might abandon point-based spatial analysis and treat the data as if they resulted from area searches (Royle & Young 2008 and Efford Ecology in press), but this is a rough approximation unless many stations were used in each year (so that capture effort was more or less even across the study area up to a definite boundary). Would be interesting to check with some simulations how well this would work.]
I'm sorry this is all a bit vague - a lot depends on the data, so I would try it and see.
Murray