Sure you can do both but does it really makes any sense?
Why would not make sense to play here and there some lottery ticket? Chances are very small, no doubt about that, but I win one time big money, and many time I've won smaller prizes. It is just a game with very small stake, and I can not buy any significant amount of bitcoin even if I never play a lottery.
What OP is saying is basically, don't waste you money but rather save it, in form of cryptocurrency.
Instead of buying tickets for the lottery, that you will going to loose anyway, buy a little bit of bitcoin or something similar.
There are many other wastes of money we do every day, and that includes alcohol, cigarettes, junk food, drugs and many other things. One beer, a box of cigarettes and a burger costing me as 4 or 5 lottery tickets. For me personally, it makes more sense to give up such things, which are much more expensive and much more harmful for health.