Sure, but in PvP your time will run out, and against the AI you are only wasting your own time.
I guess if you really think it's fun, go for it!
This idea was originally going to be a part of my Glyph Series - Glyphs being a new type of card that once played would create an icon near your health. Unlike weapons and shields, Glyphs would be unable to be overwritten, playing a new one would have no effect. Expensive and often a trade-off, with possible benefits for your opponent or a quantum drain like Flooding. Time's version was to be called "Perpetual Glyph" and would drain
each turn in exchange for being able to re-use one ability.