Yes, you can. With eBooks from many providers, the procedure for searching is largely the same as when using a PC, as described in How do I access eBooks?
On your device, once you have searched for a title you can then filter your results by clicking the filter symbol
Under Filter my results select Full text online (availability) and books (material types). Once you have done this click Apply Filters.
You will have the choice of reading online and/or downloading a PDF in the same way as when using a PC. Other providers, e.g. VLeBooks, may require that you first install an eBook reader application, e.g. Kortext reader, BlueFire Reader or Adobe Digital Editions.