Well, no. Not within the frame of your question. No problem with delay.
The problem is probably multi-path, and significant loss and signal degradation through the splitters.
A three-way split is really a four-way split with one leg shunted. generally, that's (at least) an 8 db loss right off the top (probably closer to 9db at that frequency).
Depending on the cable used, you are probably tossing 80% of your signal or more. With all antennas fed from a single source, you have no diversity (generally a guard against reduced SQ and multipath problems).
Without knowing the details or seeing the system, it sounds like a seriously poor design....but if it's working for ya, go for it.
Good Luck
Scott