Yes, there are several purine-based ionic liquids that have been described in the scientific literature.
Examples of purine-based ionic liquids include 1-butyl-3-methylimidazolium adenosine monophosphate ([BMIM][AMP]), which was first synthesized and characterized in 2011 (reference: "Synthesis and characterization of a new purine-based ionic liquid: 1-butyl-3-methylimidazolium adenosine monophosphate" by L. Zhao et al., in Tetrahedron Letters, vol. 52, p. 1130-1133, 2011).
Other examples of purine-based ionic liquids include 1-butyl-3-methylimidazolium guanosine ([BMIM][GMP]) (reference: "Synthesis and characterization of a novel purine-based ionic liquid: 1-butyl-3 -methylimidazolium guanosine" by L. Zhao et al., in Journal of Molecular Liquids, vol. 170, p. 63-66, 2012) and 1-allyl-3-methylimidazolium hypoxanthine ([AMIM][Hpx]) (reference : "Synthesis and Characterization of a New Purine-Based Ionic Liquid: 1-Allyl-3-methylimidazolium Hypoxanthine" by L. Zhao et al., in Chemical Research in Chinese Universities, vol. 32, p. 157-161, 2016) .
There are several ionic liquids containing purine derivatives as cations. For example, the 1-butyl-3-methylimidazolium ion ([Bmim]+) is a commonly used ionic liquid containing purine derivatives as cations. In particular, [Bmim]+ is a derivative of imidazolium, an aromatic heterocycle containing a nitrogen atom.
1-ethyl-3-methylimidazolium ion ([Emim]+), 1-octyl-3-methylimidazolium ion ([Omim]+), 1,3-dimethyl- 2-(2,4,6-trimethyl Phenyl)imidazolium ion ([Tmmim]+), etc. These ionic liquids are widely used as solvents or electrolytes in chemical and high tech applications.