In this paper, we present a feasibility analysis for performing vehicular dynamic spectrum access across vacant television spectral channels via a queueing theory approach that is primarily based on a multi-server, multi-priority, preemptive queue. Queueing theory has been extensively employed in the open literature to model wireless multiple access architectures as well as analyze network performance in both wired and wireless communication frameworks. On the other hand, to the best of the authors' knowledge, there does not exist a queueing theory approach designed to analyze dynamic spectrum access networks on a system level, including the specific case of vehicular dynamic spectrum access (VDSA). Leveraging previously reported quantitative measurements obtained from a wireless spectrum measurement campaign conducted along a major interstate highway (I-90) located in Massachusetts, we modeled vacant TV channels as a multi-server queueing system in which available servers represent vacant channels. The servers become unavailable in a time/location-varying fashion such that they represent spatially occupied TV channels. Both M/M/m and M/G/m models are employed to evaluate the probability that a vehicle finds all channels busy, as well as to derive the expected waiting times and the expected number of channel switches. We also consider cases where there are multiple priority classes of service requests such as a channel request by a first-responder vehicle.